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The observable spacetime can be viewed as worldline coincidences (events) between a particle system and the observers of an extended (material) reference frame (ERF). Particle positions are then operationally well defined with respect to…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Eduardo O. Dias

Spacetimes with horizons show a resemblance to thermodynamic systems and it is possible to associate the notions of temperature and entropy with them. Several aspects of this connection are reviewed in a manner appropriate for broad…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Padmanabhan

Inspired by the entropy-area relation of black hole thermodynamics, we study the thermodynamics of cosmological apparent horizon in a spatially flat Friedmann-Robertson-Walker (FRW) universe in the framework of an Extended Uncertainty…

General Relativity and Quantum Cosmology · Physics 2024-08-29 Maryam Roushan , Narges Rashidi , Kourosh Nozari

We use holography in order to study the entropy of thermal CFTs on (1+1)-dimensional curved backgrounds that contain horizons. Starting from the metric of the BTZ black hole, we perform explicit coordinate transformations that set the…

High Energy Physics - Theory · Physics 2021-09-29 Dimitrios Giataganas , Nikolaos Tetradis

Using the Zubarev quantum-statistical density operator, we calculated the corrections to the energy-momentum tensor of a massless fermion gas associated with acceleration. It is shown that when fourth-order corrections are taken into…

High Energy Physics - Theory · Physics 2019-05-08 George Y. Prokhorov , Oleg V. Teryaev , Valentin I. Zakharov

The Clausius relation between entropy change and heat flux has previously been used to derive Einstein's field equations as an equation of state. In that derivation the entropy is proportional to the area of a local causal horizon, and the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Raf Guedens , Ted Jacobson , Sudipta Sarkar

It was shown by Jacobson in 1995 that the Einstein equation can be derived as a local constitutive equation for an equilibrium spacetime thermodynamics. With the aim to understand if such thermodynamical description is an intrinsic property…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Ramit Dey , Stefano Liberati , Daniele Pranzetti

We consider the thermodynamic properties of the constant curvature black hole solution recently found by Banados. We show that it is possible to compute the entropy and the quasilocal thermodynamics of the spacetime using the…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Jolien D. E. Creighton , Robert B. Mann

It may be a common understanding at present that, once event horizons are in thermal equilibrium, the entropy-area law holds inevitably. However, no rigorous verification is given to such a very strong universality of the law in…

General Relativity and Quantum Cosmology · Physics 2011-09-06 Hiromi Saida

We established the equivalence between the local Hawking temperature measured by the time-like Killing observer located at some positions $r$ with finite distances from the outer horizon $r_+$ in the 5-dimensional spinning black hole space…

High Energy Physics - Theory · Physics 2012-01-11 Huai-Fan Li , Bin Hu

The mean value of the stress-energy tensor of a given quantum field theory at global thermodynamic equilibrium in a curved space-time can be expressed in terms of the derivatives of the Killing four-temperature field and the derivatives of…

High Energy Physics - Theory · Physics 2026-04-16 F. Becattini , F. Palli

The existence of Davies-Unruh temperature in a uniformly accelerated frame shows that quantum fluctuations of the inertial vacuum state appears as thermal fluctuations in the accelerated frame. Hence thermodynamic experiments cannot…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Sanved Kolekar , T. Padmanabhan

When the Bekenstein-Hawking entropy is modified, ambiguity often arises concerning whether the Hawking temperature or the thermodynamic mass should be modified. The common practice, however, is to keep the black hole solution the same as…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Hengxin Lu , Sofia Di Gennaro , Yen Chin Ong

A way to address the conundrum of Quantum Gravity is to illustrate the potentially fundamental interplay between quantum field theory, curved space-times physics and thermodynamics. So far, when studying moving quantum systems in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nathaniel Obadia

We derive the metric of an accelerating observer moving with non-constant proper acceleration in flat spacetime. With the exception of a limiting case representing a Rindler observer, there are no horizons. In our solution, observers can…

General Relativity and Quantum Cosmology · Physics 2015-02-19 Alaric Doria , Gerardo Munoz

We derive a master equation for the reduced density matrix of a uniformly accelerating quantum detector in arbitrary dimensions, generically coupled to a field initially in its vacuum state, and analyze its late time regime. We find that…

General Relativity and Quantum Cosmology · Physics 2021-09-06 Julio Arrechea , Carlos Barceló , Luis J. Garay , Gerardo García-Moreno

A celebrated result by Jacobson is the derivation of Einstein's equations from Unruh's temperature, the Bekenstein-Hawking entropy and the Clausius relation. This has been repeatedly taken as evidence for an interpretation of Einstein's…

General Relativity and Quantum Cosmology · Physics 2014-08-20 Goffredo Chirco , Hal M. Haggard , Aldo Riello , Carlo Rovelli

We study a dynamic version of the Unruh effect in a two dimensional collapse model forming a black hole. In this two-dimensional collapse model a scalar field coupled to the dilaton gravity, moving leftwards, collapses to form a black hole.…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Kinjalk Lochan , Sumanta Chakraborty , T. Padmanabhan

In this work, we compute the universe temperature for the cosmological horizon for the FLRW metric. For this purpose, we consider a scalar field on the cosmological horizon. This scalar field satisfies the Klein-Gordon equation in a curved…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Armando Meza Gaxiola , Pablo Padilla Longoria

It was shown by Tsallis and Cirto that thermodynamical entropy of a gravitational system such as black hole must be generalized to the non-additive entropy, which is given by $S_h=\gamma A^{\beta}$, where $A$ is the horizon area and $\beta$…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Ahmad Sheykhi
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