On the new massive gravity and AdS/CFT

Sinha, Aninda

doi:10.1007/jhep06(2010)061

Cited by 138 publications

(202 citation statements)

References 53 publications

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“…One can then see that this action is recovered at quadratic order from (2.13) in 3 dimensions by choosing X µν proportional to Rg µν and appropriately tuning the parameters (with the possible addition of a cosmological constant). Interestingly, the resulting action that they consider recovers at cubic order the extension of New Massive Gravity found in [332] by imposing the existence of a c−theorem. The same authors pursued a similar approach in [186] to construct theories that recover Horava's gravity [210,211] in 3 dimensions at quadratic order.…”

Section: Other Proposals In the Metric Formalismmentioning

confidence: 76%

Born–Infeld inspired modifications of gravity

et al. 2018

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General Relativity has shown an outstanding observational success in the scales where it has been directly tested. However, modifications have been intensively explored in the regimes where it seems either incomplete or signals its own limit of validity. In particular, the breakdown of unitarity near the Planck scale strongly suggests that General Relativity needs to be modified at high energies and quantum gravity effects are expected to be important. This is related to the existence of spacetime singularities when the solutions of General Relativity are extrapolated to regimes where curvatures are large. In this sense, Born-Infeld inspired modifications of gravity have shown an extraordinary ability to regularise the gravitational dynamics, leading to non-singular cosmologies and regular black hole spacetimes in a very robust manner and without resorting to quantum gravity effects. This has boosted the interest in these theories in applications to stellar structure, compact objects, inflationary scenarios, cosmological singularities, and black hole and wormhole physics, among others. We review the motivations, various formulations, and main results achieved within these theories, including their observational viability, and provide an overview of current open problems and future research opportunities.

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Section: Other Proposals In the Metric Formalismmentioning

confidence: 76%

Born–Infeld inspired modifications of gravity

et al. 2018

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“…in the presence of scalar matter [5], a gravitational Chern-Simons (CS) term [6][7][8][9] or other higher derivative interactions [10,11]. Even within locally AdS 3 Einstein gravity (1.1) several alternatives to BH bc's were discovered that changed the ASA from the 2D conformal algebra to something else: a warped conformal algebra [12], a centerless warped conformal algebra [13], a twisted warped conformal algebra [14] or Heisenberg algebra [15].…”

Section: Jhep10(2016)023mentioning

confidence: 99%

Most general AdS3 boundary conditions

Grumiller

Riegler

2016

J. High Energ. Phys.

130

180

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We consider the most general asymptotically anti-de Sitter boundary conditions in three-dimensional Einstein gravity with negative cosmological constant. The metric contains in total twelve independent functions, six of which are interpreted as chemical potentials (or non-normalizable fluctuations) and the other half as canonical boundary charges (or normalizable fluctuations). Their presence modifies the usual Fefferman-Graham expansion. The asymptotic symmetry algebra consists of two sl(2) k current algebras, the levels of which are given by k = ℓ/(4G N ), where ℓ is the AdS radius and G N the threedimensional Newton constant.

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“…As an example for a calculation of generalized gravitational entropy in other dimensions, we consider the New Massive Gravity action in three dimensions [33] and use the notation in [34] …”

Section: New Massive Gravitymentioning

confidence: 99%

On generalized gravitational entropy, squashed cones and holography

Bhattacharyya

Sharma

Sinha

2014

J. High Energ. Phys.

Self Cite

107

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Abstract:We consider generalized gravitational entropy in various higher derivative theories of gravity dual to four dimensional CFTs using the recently proposed regularization of squashed cones. We derive the universal terms in the entanglement entropy for spherical and cylindrical surfaces. This is achieved by constructing the Fefferman-Graham expansion for the leading order metrics for the bulk geometry and evaluating the generalized gravitational entropy. We further show that the Wald entropy evaluated in the bulk geometry constructed for the regularized squashed cones leads to the correct universal parts of the entanglement entropy for both spherical and cylindrical entangling surfaces. We comment on the relation with the Iyer-Wald formula for dynamical horizons relating entropy to a Noether charge. Finally we show how to derive the entangling surface equation in Gauss-Bonnet holography.

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On the new massive gravity and AdS/CFT

Cited by 138 publications

References 53 publications

Born–Infeld inspired modifications of gravity

Born–Infeld inspired modifications of gravity

Most general AdS3 boundary conditions

On generalized gravitational entropy, squashed cones and holography

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