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Applying the first law of thermodynamics to the apparent horizon of a Friedmann-Robertson-Walker universe and assuming the geometric entropy given by a quarter of the apparent horizon area, we derive the Friedmann equations describing the…

高能物理 - 理论 · 物理学 2009-11-11 Rong-Gen Cai , Sang Pyo Kim

We study Einstein's gravity coupled to nonlinear electrodynamics with two parameters in Anti-de Sitter spacetime. Magnetically charged black holes in an extended phase space is investigated. We obtain the mass and metric functions, their…

综合物理 · 物理学 2024-08-09 S. I. Kruglov

Motivated by the notion that the mathematics of gravity can be reproduced from a statistical requirement of maximal entropy, we study the consequence of introducing an entropic source term in the Einstein-Hilbert action. For a spatially…

广义相对论与量子宇宙学 · 物理学 2024-03-20 Soumya Chakrabarti

The black hole entropy formula applied to local Rindler horizon at each spacetime point has been used in the literature to derive the Einstein field equation as an equation of state of a thermodynamical system of spacetime. In the present…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S C Tiwari

The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation $\delta Q=TdS$ connecting heat, entropy, and temperature. The key idea is to demand that this relation hold for all…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Ted Jacobson

We presented a sound foundation of thermodynamics for a Friedmann-Robertson-Walker (FRW) universe from the first principle in ground-breaking work [Hu et al., JHEP12 (2022) 168]. Based on such an approach, we explore the thermodynamics of…

广义相对论与量子宇宙学 · 物理学 2025-07-09 Yue Chu , Shi-Bei Kong , Yang Liu , Hongsheng Zhang , Ya-Peng Hu

We study the consequences of the running Newton's constant on several key aspects of spherically symmetric charged black holes by performing a renormalization group improvement of the classical Reissner-Nordstr\"om metric within the…

广义相对论与量子宇宙学 · 物理学 2023-03-09 O. Ruiz , E. Tuiran

We have investigated the non-static Lorentzian Wormhole model in presence of anisotropic pressure. We have presented some exact solutions of Einstein equations for anisotropic pressure case. Introducing two EoS parameters we have shown that…

综合物理 · 物理学 2014-11-06 Ujjal Debnath , Mubasher Jamil , R. Myrzakulov , M. Akbar

We demonstrate that there does exist an equilibrium description of thermodynamics on the apparent horizon in the expanding cosmological background for a wide class of modified gravity theories with the Lagrangian density $f(R, \phi, X)$,…

广义相对论与量子宇宙学 · 物理学 2011-08-05 Kazuharu Bamba , Chao-Qiang Geng , Shinji Tsujikawa

We study the thermodynamic properties of a static electrically charged spherical thin shell in $d$ dimensions by imposing the first law of thermodynamics on the shell. The shell is at radius $R$, inside it the spacetime is Minkowski, and…

广义相对论与量子宇宙学 · 物理学 2022-11-28 Tiago V. Fernandes , José P. S. Lemos

It is well known that, for a wide class of spacetimes with horizons, Einstein equations near the horizon can be written as a thermodynamic identity. It is also known that the Einstein tensor acquires a highly symmetric form near static, as…

广义相对论与量子宇宙学 · 物理学 2009-07-30 Dawood Kothawala , T. Padmanabhan

We consider black hole solutions with electric and magnetic sources in the four-dimensional Einstein-Born-Infeld-AdS theory with spherical, planar and hyperbolic horizon geometries. Exact analytical solutions for the metric function,…

广义相对论与量子宇宙学 · 物理学 2023-04-07 Mykhailo Tataryn , Mykola Stetsko

We derive the Einstein field equations and black hole entropy from the first law of thermodynamics on a holographic time-like screen. Because of the universality of gravity, the stress tensor on the screen must be independent of the details…

高能物理 - 理论 · 物理学 2012-07-10 Miao Li , Rong-Xin Miao , Jun Meng

This work mainly focuses on the nonlinear Einstein-Euler-Heisenberg theory and its applications from various aspects. Firstly, thermodynamic variables are analytically determined via Smarr formula for a four dimensional spherically…

广义相对论与量子宇宙学 · 物理学 2025-07-14 Huriye Gürsel , Mert Mangut , Erdem Sucu

We present a canonical quantization framework for static spherically symmetric spacetimes described by the Einstein-Hilbert action with a cosmological constant. In addition to recovering the classical Schwarzschild-(Anti)-de Sitter…

广义相对论与量子宇宙学 · 物理学 2026-03-03 Benjamin Koch , Ali Riahinia

The Friedmann equations of general relativity can be derived from the first law of thermodynamics when the entropy of the apparent horizon of a spatially isotropic universe is given by the Bekenstein-Hawking entropy. We point out that if…

广义相对论与量子宇宙学 · 物理学 2009-11-19 James E. Lidsey

The de Sitter state and the static Einstein Universe are unique states that have a constant scalar Ricci curvature ${\cal R}$. It was shown earlier that such a unique symmetry of the de Sitter state leads to special thermodynamic properties…

广义相对论与量子宇宙学 · 物理学 2026-03-17 G. E. Volovik

We show that it is possible to obtain a picture of equilibrium thermodynamics on the apparent horizon in the expanding cosmological background for a wide class of modified gravity theories with the Lagrangian density $f(R, \phi, X)$, where…

广义相对论与量子宇宙学 · 物理学 2010-10-12 Kazuharu Bamba , Chao-Qiang Geng , Shinji Tsujikawa

We use the techniques of Bartnik (2005) to show that the space of solutions to the Einstein-Yang-Mills constraint equations on an asymptotically at manifold with one end and zero boundary components, has a Hilbert manifold structure; the…

广义相对论与量子宇宙学 · 物理学 2014-12-02 Stephen McCormick

We propose that the spectrum of the surface area of the apparent horizon (AH) of de Sitter (dS) spacetime leads to corrected temperature and entropy of the dS spacetime, offering new insights into its thermodynamic properties. This is done…

广义相对论与量子宇宙学 · 物理学 2024-09-20 S. Jalalzadeh , H. Moradpour , H. Tebyanian