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It is argued in the literature that gravity is an emergent phenomenon and is a statistical tendency for a gravitational system to attain the maximal entropy state which maintains the holographic principle. In this paper, we show that…

General Relativity and Quantum Cosmology · Physics 2014-01-08 Qiao-Jun Cao

In the Cadassian universe, one can explain the acceleration of the universe without introducing dark energy component. However, the dynamical equations of this model can not be directly obtained from the action principle. Recently, works on…

High Energy Physics - Theory · Physics 2011-07-08 Chao-Jun Feng , Xin-Zhou Li , Xian-Yong Shen

I describe how gravitational entropy is intimately connected with the concept of gravitational heat, expressed as the difference between the total and free energies of a given gravitational system. From this perspective one can compute…

General Relativity and Quantum Cosmology · Physics 2022-10-12 R. B. Mann

There is a deep link between gravity and thermodynamics; in a precise way gravity can be derived from entanglement entropy in conformal field theories. However, this depends crucially on properties of horizons, and asymptotic symmetries of…

High Energy Physics - Theory · Physics 2025-04-30 Ian Nagle

We consider the energetics and thermodynamics of spacetimes with no horizons, but endowed with a preferred timelike junction surface. They could arise as a limiting case of the gravastar and other constructions regularizing the interior of…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Raymond Isichei , João Magueijo

Deformations of minimal surfaces lying in constant time slices in static space-times are studied. An exact and universal formula for a change of the area of a minimal surface under shifts of nearby point-like particles is found. It allows…

High Energy Physics - Theory · Physics 2014-11-21 Dmitri V. Fursaev

We analyze the dynamics of the gravitational field when the covariance is restricted to a synchronous gauge. In the spirit of the Noether theorem, we determine the conservation law associated to the Lagrangian invariance and we outline that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Giovanni Montani , Francesco Cianfrani

We study 3-dimensional gravity on a spacetime bounded by a generic 2-dimensional causal surface. We review the solution phase space specified by 4 generic functions over the causal boundary, construct the symplectic form over the solution…

High Energy Physics - Theory · Physics 2023-07-26 H. Adami , A. Parvizi , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo

Conservation laws have many applications in numerical relativity. However, it is not straightforward to define local conservation laws for general dynamic spacetimes due the lack of coordinate translation symmetries. In flat space, the rate…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Robin Croft

We obtain the thermodynamic geometry of a (2+1) dimensional strongly coupled quantum field theory at a finite temperature in a holographic set up, through the gauge/gravity correspondence. The bulk dual gravitational theory is described by…

High Energy Physics - Theory · Physics 2015-12-30 Sayan Basak , Pankaj Chaturvedi , Poulami Nandi , Gautam Sengupta

We derive the equations of motion for Palatini F(R) gravity by applying an entropy balance law T dS= \delta Q+\delta N to the local Rindler wedge that can be constructed at each point of spacetime. Unlike previous results for metric F(R),…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Goffredo Chirco , Christopher Eling , Stefano Liberati

The fact that the equations of motion for matter remain invariant when a constant is added to the Lagrangian suggests postulating that the field equations of gravity should also respect this symmetry. This principle implies that: (1) the…

General Relativity and Quantum Cosmology · Physics 2015-11-16 T. Padmanabhan

Cosmological constant problem (in its various versions) is arguably the deepest gap in our understanding of theoretical physics, the solution to which may very likely require revisiting the Einstein theory of gravity. In this letter, I…

Astrophysics · Physics 2008-07-18 Niayesh Afshordi

The stress tensor is a basic local operator in any field theory; in the context of AdS/CFT, it is the operator which is dual to the bulk geometry itself. Here we exploit this feature by using the bulk geometry to place constraints on the…

High Energy Physics - Theory · Physics 2016-12-14 Sebastian Fischetti , Andrew Hickling , Toby Wiseman

In this short review we compare the rigid Noether charges to topological gauge charges. One important extension is that one should consider each boundary component of spacetime independently. The argument that relates bulk charges to…

High Energy Physics - Theory · Physics 2014-11-18 B. L. Julia

Dynamical properties of a generic null surface are known to have a thermodynamic interpretation. Such an interpretation is completely based on an analogy between the usual law of thermodynamics and structure of gravitational field equation…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Surojit Dalui , Bibhas Ranjan Majhi , T. Padmanabhan

We study classical limit for quantum mechanics with two times and temperature, which describes a generalized dynamics of relativistic point mass. In this theory, thermodynamic time means a parameter of evolution, whereas geometric time is…

High Energy Physics - Theory · Physics 2007-05-23 Vadim V. Asadov , Oleg V. Kechkin

In this work, we explore the effect at cosmological level of the extra contribution arising from the Geodetic Brane Gravity model within a thermodynamical perspective. As already known, the universe seen as an extended object embedded…

High Energy Physics - Theory · Physics 2026-01-27 Gilberto Aguilar-Pérez , Giovany Cruz , Miguel Cruz , Efraín Rojas

The holographic principle states that the number of degrees of freedom describing the physics inside a volume (including gravity) is bounded by the area of the boundary (also called the screen) which encloses this volume. A stronger…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Carsten van de Bruck

We construct a generalized Smarr formula which could provide a thermodynamic route to derive the covariant field equation of general theories of gravity in dynamic spacetimes. Combining some thermodynamic variables and a new chemical…

High Energy Physics - Theory · Physics 2012-07-10 Shao-Feng Wu , Bin Wang , Xian-Hui Ge , Guo-Hong Yang