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We propose an expression for the entropy density associated with the Local Causal Horizons in any diffeomorphism invariant theory of gravity. If the black-hole entropy of the theory satisfies the physical process version of the first law of…

General Relativity and Quantum Cosmology · Physics 2013-07-26 Arif Mohd , Sudipta Sarkar

We show that the diffeomorphisms, which preserve the null nature for a generic null metric very near to the null surface, provide {\it noncommutative} Heisenberg algebra. This is the generalization of the earlier work (Phys. Rev. D95,…

General Relativity and Quantum Cosmology · Physics 2018-08-07 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

Using the differential calculus on discrete group, we study the general relativity in the space-time which is the product of a four dimensional manifold by a two-point space. We generalize the usual concept of frame and connection in our…

High Energy Physics - Theory · Physics 2017-02-01 Bin Chen , Takesi Saito , Ke Wu

A new entropic gravity inspired derivation of general relativity from thermodynamics is presented. This generalizes, within Einstein gravity, the "Thermodynamics of Spacetime" approach by T. Jacobson, which relies on the Raychaudhuri…

High Energy Physics - Theory · Physics 2016-08-05 Ian Nagle

Thermal properties of a static horizon, (like the entropy S, heat content TS etc.) can be obtained either from the surface term of the Einstein-Hilbert action or by evaluating the Noether charge, corresponding to the diffeomorphisms…

General Relativity and Quantum Cosmology · Physics 2013-11-22 Bibhas Ranjan Majhi , T. Padmanabhan

Dipole charge conservation forces isolated charges to be immobile fractons. These couple naturally to spatial two-index symmetric tensor gauge fields that resemble a spatial metric. We propose a spacetime Lorentz covariant version of dipole…

High Energy Physics - Theory · Physics 2024-03-12 Evangelos Afxonidis , Alessio Caddeo , Carlos Hoyos , Daniele Musso

We evaluate the Wald Noether charge entropy for a black hole in generalized theories of gravity. Expanding the Lagrangian to second order in gravitational perturbations, we show that contributions to the entropy density originate only from…

High Energy Physics - Theory · Physics 2015-05-28 Ram Brustein , Dan Gorbonos , Merav Hadad , A. J. M. Medved

We complement investigations of the gauge structure of general relativity with an analysis of the physical consequences of the spontaneous breaking of diffeomorphism invariance which manifests itself in e.g. the socalled Einstein hole…

General Relativity and Quantum Cosmology · Physics 2012-03-09 Manfred Requardt

The Born-Infeld theory of the gravitational field formulated in Weitzenbock spacetime is studied in detail. The action, constructed quadratically upon the torsion two-form, reduces to Einstein gravity in the low field limit where the…

High Energy Physics - Theory · Physics 2016-11-23 Franco Fiorini , Nicolas Vattuone

There is a class of higher derivative gravity theories that are in some sense natural extensions of cosmological Einstein's gravity with a unique maximally symmetric classical vacuum and only a massless spin-2 excitation about the vacuum…

High Energy Physics - Theory · Physics 2018-01-08 Gokcen Deniz Ozen , Sahin Kurekci , Bayram Tekin

Due to the splitting problem, it is difficult to derive the holographic entanglement entropy for general higher derivative gravity. Inspired by double holography and renormalized entanglement entropy, we develop a method to derive the…

High Energy Physics - Theory · Physics 2025-03-06 Rong-Xin Miao , Zi-Bing Xie

Variational formalism in the extended phase space for fields is applied to gravity. It is shown that the requirement of invariance under arbitrary local inertial frames implies a coupling of torsion to a 3-form of matter fields on the one…

General Relativity and Quantum Cosmology · Physics 2012-04-04 Pankaj Sharan

In relativistic gravity, requiring a spacetime hypersurface be a Killing horizon breaks the general covariance of general relativity. The residual algebra of horizon preserving diffeomorphisms can be extended to a Virasoro algebra near the…

General Relativity and Quantum Cosmology · Physics 2018-10-26 David Mattingly , Matthew Roberson , Sayandeb Basu

It has been argued that the entropy which one is computing in the isolated horizon framework of loop quantum gravity is closely related to the entanglement entropy of the gravitational field and that the calculation performed is not…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Norbert Bodendorfer

The magnetohydrodynamic dynamo equation is derived within general relativity, using the covariant 1+3 approach, for a plasma with finite electric conductivity. This formalism allows for a clear division and interpretation of plasma and…

Astrophysics · Physics 2009-11-10 Mattias Marklund , Chris Clarkson

A thermo field dynamics approach for calculating the entropy of a spacetime is suggested. It is exemplified through the Rindler spacetime, the Milne spacetime, the Boulware spacetime, and the Minkowski spacetime with a moving mirror that…

General Relativity and Quantum Cosmology · Physics 2015-11-03 Yu-Zhu Chen , Wen-Du Li , Wu-Sheng Dai

We generate new spherical and time-dependent solutions of viable Horndeski gravity by disforming a solution of the Einstein equations with scalar field source and positive cosmological constant. They describe dynamical objects embedded in…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Reza Saadati , Andrea Giusti , Valerio Faraoni , Fatimah Shojai

We showed before that self-dual electromagnetism in noncommutative (NC) spacetime is equivalent to self-dual Einstein gravity. This result implies a striking picture about gravity: Gravity can emerge from electromagnetism in NC spacetime.…

High Energy Physics - Theory · Physics 2009-10-12 Hyun Seok Yang

Some essential conceptual aspects that will fill some logical gaps of the frame to interpret the gravity as an entropic force was investigated, we focus on some crucial issues that didn't emphasized in Verlinde's original…

General Relativity and Quantum Cosmology · Physics 2014-02-21 Qiao-Jun Cao

Assuming that the dominant contribution, to the entropy due to entanglement across a spherical hypersurface, comes from the near horizon degrees of freedom, we analytically derive the entropy of a free massless scalar field in Minkowski…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Suman Ghosh