Pdf classical gravity with higher derivatives

GENERAL RELATIVITY AND THE NEWTONIAN LIMIT ALEXANDER TOLISH Abstract. In this paper, we shall brie y explore general relativity, the branch of physics concerned with spacetime and gravity.

Quantum Cosmology in Higher Derivative and Scalar-Tensor Gravity In this paper, we first show that such classical equivalence remains valid at the level of the Wheeler—deWitt equation. Then, we consider a specific case, represented by a Lagrangian f(R) = R + l−2(l2R)4/3 whose vacuum cosmological solutions describe a non-singular Universe.

Ilya Shapiro, Massive ghosts and stability in higher derivative gravity. Black Holes – Ubu – ES, April, 2015 Black Holes – Ubu – ES, April, 2015 For the sake of generality, consider not only classical …

the higher dimensional gravity models. At the end of this Chapter the higher derivative Pais- At the end of this Chapter the higher derivative Pais- Uhlenbeck oscillators are brieﬂy reviewed.

Classical gravity with higher derivatives I shall not enter here into a philosophical debate about various attitudes that can be taken towards the interpretation of

The Lee-Wick models are higher-derivative theories that are claimed to be unitary thanks to a peculiar cancelation mechanism. In this paper, we provide a new formulation of the models, to clarify several aspects that have remained quite mysterious, so far.

Higher derivative theories of classical gravity, first introduced by Weyl [2], have some attractive cosmological properties, such as gravity driven expansion [3]. A model of quantum gravity with higher derivative terms has been shown to be renormalizable [4] and asympotically free [5]. In particle physics, the Nambu-Jona-Lasinio [6], Schwinger [7], and Skyrme [8] models with higher derivative

Higher derivative terms are interesting because they make the theory renormalisable (but non-unitary) and because they appear generically in quantum gravity theories. We consider the classical, static, spherically symmetric solutions, and try to enumerate all solution families. We ﬁnd three families in expansions around the origin: one corresponding to the vacuum, another which contains the

Inclusion of the four-derivative terms ∫RμνRμν(−g)1/2 and ∫R2(−g)1/2 into the gravitational action gives a class of effectively multimass models of gravity. In addition to the usual massless excitations of the field, there are now, for general amounts of the two new terms, massive spin-two and massive scalar excitations, with a

Classical and Quantum Aspects of Higher-Derivative Scalar Theories N. Tetradis University of Athens and CERN N. Tetradis University of Athens and CERN Aspects of HIgher-Derivative Theories. Introduction Classicalization Exact classical solutions Renormalization of the Galileon Renormalization of the brane theory Conclusions In certain higher-derivative ﬁeld theories scattering can take place

Quantum gravity with higher derivative terms. Author General relativity can be regarded as a classical field t h e o r y invariant under general co-ordinate transformations x’. = x.-/.(x), i.e. a non-Abelian group of transformations depending oll the four local para- meters ] d x ) . As fundamental fields one (;an take the components of the sym- metric rank-two tensor g , , ( x ) , the

Quantum theories of gravity (e.g. string theories) lead to higher derivative terms in the effective gravitational action. We present a general discussion of classical stability for compactification solutions of higher derivative gravity (also applicable for other bosonic fields and in four dimensions).

Classical and Quantum Gravity.RPDULQWHJUDOVLQKLJKHU DQGORZHU GHULYDWLYH JUDYLW To cite this article: David Kastor 2008 Class. Quantum Grav. 25 175007

visualization of the Green functions: in both higher-derivative and in nite-derivative gravity they are nite at r= 0, whereas for GR the Green function diverges at the origin. This constitutes a major insight of these calculations in the literature, and, at the linear level,

Adding more derivatives to the four-derivative action of gravity makes heavier masses even greater, while the lightest massive ghost is not strongly affected. This fact is favorable for protecting

higher derivative gravity theory was proposed in [16, 28, 29] where four derivative terms R ab R ab − 3 / 8 R 2 are added to the Einstein–Hilbert lagrangian.

Higher Derivative Quantum Gravity Near Four Dimensions The renormalizability of higher derivative quantum gravity (HDQG) enables one to establish the asymptotic freedom in the UV limit [6–9] and explore the possible role of quantum gravity in the asymptotic behavior for GUT-like models [10] (see [11] for the general introduction to the subject). The price for the renormalizability of

Classical and Quantum Gravity Highlights of 2012–2013 It is my pleasure to present this year’s Classical and Quantum Gravity (CQG) Highlights. The Editorial Board has chosen these articles as a selection of the highest quality work published in CQG in the last year. Congratulations to all the featured authors on their excellent work! An exciting recent development on the journal is the

Higher-derivative theories RENORMALIZATION

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Nuclear Physics B269 (1986) 712-743 North-Holland

It is well known that higher-derivative gravity has a scalar degree of freedom in general [1–4]. In cosmological models of higher-derivative gravity, the scalar mode is expected to play an important role [ …

Beyond Lovelock gravity: Higher derivative metric theories M. Crisostomi,1 K. Noui,2,3 C. Charmousis,4 and D. Langlois3 1Institute of Cosmology and Gravitation, University of Portsmouth,

Field theory does not care about too-pt. energy, only BE! But gravity robes!? I? X st the Planck scale?.

Class. Quantum Grav. 26 (2009) 035022 Y M Zinoviev a limit when both the cosmological term and gravitational coupling constant simultaneously tend to zero in such a way that only interactions with highest number of derivatives survive.

I prove that classical gravity coupled with quantized matter can be renormalized with a finite number of independent couplings, plus field redefinitions, without introducing higher-derivative kinetic terms in the gravitational sector, but adding vertices that couple the matter stress-tensor with the Ricci tensor. The theory is called “acausal gravity”, because it predicts the violation of

Lectures on loop quantum gravity given by classical mechanics and non-relativistic theories. General relativity is local, deterministic and continuum, whereas quantum mechanics is probabilistic, non-local and discrete. In spite of their empirical success, GR and QM offer a schizophrenic understanding of the physical world. General relativity has taught us that space-time is a dynamical

The constrained higher derivative gravity theory is ghost free as well as preserves the renormalization properties of higher derivative gravity, at the price of giving up the Lorentz invariance.

Inclusion of the four-derivative terms R R (–g)1/2 and R 2(–g)1/2 into the gravitational action gives a class of effectively multimass models of gravity. In addition to the usual massless

Higher Derivative and Conformal Gravity from Bimetric and Partially Massless Bimetric Theories Fawad Hassan Stockholm University, Sweden IPMU Workshop on “Massive gravity …

LETTERE AL ~UOVO ClM~NTO VOL. 39, N. 7 18 Febbraio 1984 Induced-Gravity and Higher-Curvature Terms: Classical Solutions. J. M. CERVEI~O

1 On a Three-Dimensional Gravity Model with Higher Derivatives Carlos Pinheiro1,GentilO.Pires2and Claudio Sasaki3 The purpose of this work is to present a model for

classical gravity with higher derivatives 355 earized theory to a pressurized fluid distribution shows that the coefficients of the Yukawa potentials depend on the pressure and the size of the distribution.

Black Holes in Higher-Derivative Gravity Classical and Quantum Black Holes LMPT, Tours May 30th, 2016 Work with Hong L u, Alun Perkins, Kelly Stelle

• Higher derivative gravity with quadratic curvature invariant are in general suffers from Ostrogradski’s instability, but can be removed by additional constraints if the Lorentz symmetry is violated.

INTRODUCTION TO QUANTUM EFFECTS IN GRAVITY This is the first introductory textbook on quantum field theory in gravitational backgrounds intended for undergraduate and

• Gravitational waves and stability of classical solutions. • Final word will be said by tachyons. Ilya Shapiro, Massive ghosts and stability in higher derivative gravity. MITP, Mainz – June 26, 2015. Three choice for Quantum Gravity (QG) One may suppose the presence of some new fundamental physics at the Planck scale. Possible approaches to QG can be classiﬁed into three distin ct

On Torsion Fields in Higher Derivative Quantum Gravity 325 the ﬁrst order formalism and the energy-momentum tensor. The possi-ble eﬀective interaction of the torsion ﬁeld with external electromagnetic

Classical gravity with higher derivatives Consider the gravitational action I = Z d4x p g(R C ˆ˙C ˆ˙+ R2): The eld equations following from this higher-derivative action are H = R 1 2 g R + 2 3 ( 3 )r r R 2 2R + 1 3 ( + 6 )g 2R 4 R R + 2 + 2 3 RR + 1 2 g 2 R R + 2 3 R2 = 1 2 T 6/39. Nonlinear eld equations for spherical symmetry Use Schwarzschild coordinates ds2 = B(r)dt2 + A(r)dr2 + r2(d

2 March 1995 PHYSICS LETTERS B Physics Letters B 346 ( I995 ) 4145 Higher-derivative quantum gravity with matter in 4 – E dimensions Sergei D. Odintsov â Dept. of Mathematics…

A classical field theory of gravity and electromagnetism is developed. The starting point of the theory is the Maxwell equations which are directly tied to the Riemann-Christoffel curvature tensor. This is done through the derivatives of the Maxwell tensor which are equated to a vector field

The main issue with conformal gravity theories, as well as any theory with higher derivatives, is the typical presence of ghosts, which point to instabilities of the quantum version of the theory, although there might be a solution to the ghost problem.

1 Introduction The role of higher derivatives in quantum and classical gravity theories is important, complicated and ambiguous. On the one hand it is well known that semiclassical [ 1 ] and quantum [ 2 ] gravity can be formulated as renormalizable theories only with the four-derivative terms in the action (see [ 3, 4 ] for an introduction and [5] for a recent review). On the other hand, by

For Gauss–Bonnet gravity and in the context of holography we show how the thermal DC conductivity can be obtained by solving a generalised system of Stokes equations for an auxiliary fluid on a curved black hole horizon. For more general higher derivative theories of gravity coupled to gauge-fields, we also analyse the linearised thermal and

Recently Hořava proposed a renormalizable gravity theory with higher derivatives by abandoning the Lorenz invariance in UV. But there have been confusions regarding an extra scalar graviton mode and the consistency of the Hořava model.

Abstract The classical features of higher-derivative gravitational-field models derived from actions that include both the Hilbert action and certain four-derivative terms are examined.

Abstract. Inclusion of the four-derivative terms ∫R μν R μν (−g) 1/2 and ∫R 2 (−g) 1/2 into the gravitational action gives a class of effectively multimass models of gravity.

The Classical Limit of Quantum Gravity Isn’ t * ADRIAN COOPER with central charge c > 25 has been proposed as a toy model for quantum gravity in higher dimensions. The associated Wheeler-Dewitt equation is non-linear and unstable to forming a condensate of baby universes. This will occur even in the classical c + 00 limit, and as a result, large scale cosmological solutions with a con

Abstract. In arXiv:1508.01343 hep-th], one of the authors proposed that in AdS/CFT the gravity dual of the boundary c-theorem is the second law of thermodynamics satisfied by causal horizons in AdS and this was verified for Einstein gravity in the bulk.

Gravitational light deflection is known as one of three classical tests of general relativity and the angle of deflection may be computed explicitly using approximate or exact solutions describing the gravitational force generated from a point mass.

University of Groningen Generalised boundary terms for

Some Remarks on High Derivative Quantum Gravity 5713 dimensionless couplings. Although theories with higher derivatives like (1) are in general nonunitary at the quantum level, string theory is both unitary and renor-

We present a class of spherically symmetric vacuum solutions to an asymptotically safe theory of gravity containing high-derivative terms. We find quantum corrected Schwarzschild-(anti)-de Sitter solutions with running gravitational coupling parameters. The evolution of the couplings is determined

Classical gravity with higher derivatives We shall not enter here into a philosophical debate about various attitudes that can be taken towards the interpretation of

PHYSICAL REVIEW D VOLUME 43, NUMBER 10 15 MAY 1991 Stability of Aat space, semiclassical gravity, and higher derivatives Jonathan Z. Simon* Department ofPhysics, University California, Santa Barbara, California 93106

Higher derivatives in Type II and M-theory on Calabi-Yau threefolds Higher derivatives in Type II and M-theory on Calabi-Yau threefolds Generalised boundary terms for higher derivative theories of gravity

Nonunitary higher derivative gravity classically equivalent to Einstein gravity and its Newtonian limit . 32 Pages. Nonunitary higher derivative gravity classically equivalent to Einstein gravity and its Newtonian limit. Author. Filippo Maimone. Download with Google Download with Facebook or download with email. Nonunitary higher derivative gravity classically equivalent to Einstein gravity

Classical and Quantum Mechanical Structures of Higher Derivative Gravity Theories) and 104T177 (Research on the Mathematical Background of Nonperturbative Superstring Theo- …

“Critical” Cosmology in Higher Order Gravity Hindawi

gravity might answer the question if the analogy between the ordinary laws of thermodynamics and the laws governing the behaviour of a black hole is a peculiar accident of general relativ- ity or a robust feature of all generally covariant theories of gravity or something in between.

Conformal gravity are gravity theories that are invariant under conformal transformations in the Riemannian geometry sense; more accurately, they are invariant under Weyl transformations → where is the metric tensor and () is a function on spacetime.

Higher derivative (HD) gravity: By this we mean theories with more than two derivatives of the metric gµν that, at the 4-derivative level, have the form, Z 1 cRR √ HD . (1.1) S(2) [g] = m2g d4 x g Λ + cR R(g) − 2 Rµν Rµν − R2 m 3 This action propagates a massless spin-2 state with two helicities, along with a massive spin-2 state with five helicities, for a total of seven modes [5

Warped Phenomenology of Higher-Derivative Gravity noterms with derivatives higher than second will appear in the equations of motion due to their presence. Generally, arbitrary invariants formed from ever higher powers of the curvature tensor will lead to equations of motion of ever higher order, i.e., ever more co-ordinate derivatives of the metric tensor and graviton ﬁeld, e.g., terms

• Renormalizable theories of Gravity • Classical Instabilities Ostrogradsky • Quantum Ghosts: Unitarity loss. Ostrogradski instabilities [1850] 1850. Ostrogradski instabilities Theories with high time derivatives are unstable Classical Mechanics: A Lagrangian with higher derivatives: L(x,x˙,¨x) canonical variables q 1 =x p 1 =∂ x˙L − d dt ∂¨xL q 2 = ˙x p 2 =∂¨xL

which the equations of motion for a perturbation propagating in a given background have only 2 derivatives. This makes the classical propagation of perturbations a well deﬁned

known higher-derivative linear models fall into this class, including the Pais–Uhlenbeck oscillator, Podolsky electro- dynamics, and linearized conformal gravity.

Hamiltonian analysis of Mimetic gravity with higher

Contents What is General Relativity?

to make sure that the higher derivative gravity is ghost and tachyon free at a perturbative level, one requires inﬁnite covariant derivatives, which yields a generalised covariant inﬁnite derivative theory of gravity.

Asymptotic Safety and Higher Derivative Gravity Frank Saueressig Institut de Physique Th´eorique, CEA, IPhT, F-91191 Gif-sur-Yvette Institut des Hautes Etudes Scientiﬁques, IHES, F …

of the Gauss-Bonnet term made the theory of gravity to become higher derivative, which makes it diﬃcult to make any statements about the connection between the violation of the second law of thermodynamics and the galileon ﬁelds.

On higher derivatives in 3D gravity and higher-spin gauge theories Eric A. Bergshoeffa,*, Olaf Hohmb, Paul K. Townsendc aCentre for Theoretical Physics, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands

In gravity, a classic example of a higher derivative theory that has ghosts is Stelle’s fourth derivative theory of gravity [24] (see also [25]), which is renormalizable, but

higher derivative gravity theories with a cutoff can be defined, such that a truly cutoff independent continuum limit exists, and can be constructed using the renor- malization group.

two classical routes towards higher-derivative gravity Suppose we want to construct a geometrical theory of gravitation, via a principie of least action, that is, frorn a staternent that some functional of the

mimetic gravity with a general higher derivative function and show the degrees of freedom (DOFs) is 3 which is consistent with the previous result of the Hamiltonian analysis at the perturbation level.

Warped Phenomenology of Higher-Derivative Gravity

Conformal gravity Wikipedia

Stability of flat space semiclassical gravity and higher

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Higher derivative quantum theories classical unstability

Classical gravity with higher derivatives

Higher derivative theories with constraints Exorcising

The Classical Limit of Quantum Gravity Isn’ t

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On higher derivative gravity c-theorems and cosmology

PHYSICAL REVIEW D VOLUME 43, NUMBER 10 15 MAY 1991 Stability of Aat space, semiclassical gravity, and higher derivatives Jonathan Z. Simon* Department ofPhysics, University California, Santa Barbara, California 93106

Classical stability for spontaneous compactification in

Classical and Quantum Aspects of Higher-Derivative Scalar

On Torsion Fields in Higher Derivative Quantum Gravity