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Thermodynamics on the cosmological apparent horizon of a flat Friedmann-Lemaitre-Robertson-Walker metric has been investigated with Bekenstein entropy and Hawking temperature on the horizon, and Unruh temperature for the fluid inside the…

General Relativity and Quantum Cosmology · Physics 2016-07-15 Subhajit Saha

It was shown recently that, in the case of Schwarschild black hole, one can obtain the correct thermodynamic relations by studying a model quantum system and using a particular duality transformation. We study this approach further for the…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Sudipta Sarkar , T. Padmanabhan

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration $a$ experiences Minkowski vacuum as a thermal state in the temperature $T_{\text{lin}} = a/(2\pi)$, operationally measurable via the detailed…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Steffen Biermann , Sebastian Erne , Cisco Gooding , Jorma Louko , Jörg Schmiedmayer , William G. Unruh , Silke Weinfurtner

We study quantum fields on spacetimes having a bifurcate Killing horizon by allowing the possibility that left- and right- (in-going and out-going) modes have different temperatures. We consider in particular the Rindler for both massless…

High Energy Physics - Theory · Physics 2021-02-03 E. T. Akhmedov , P. A. Anempodistov , K. V. Bazarov , D. V. Diakonov , U. Moschella

Utilizing the holographic technique, we investigate how the entanglement entropy evolves along the RG flow. After introducing a new generalized temperature which satisfies the thermodynamics-like law even in the IR regime, we find that the…

High Energy Physics - Theory · Physics 2017-05-31 Ki-Seok Kim , Chanyong Park

In the 1970s, Fulling, Davies, and Unruh demonstrated that the vacuum state perceived by an inertial observer in Minkowski space appears as a thermal bath to a uniformly accelerated observer. We explore the transformation of the Wigner…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Nitesh K. Dubey , Sanved Kolekar

We calculate the renormalized vacuum polarization and stress tensor for a massless, arbitrarily coupled scalar field in the Hartle-Hawking vacuum state on the horizon of a Schwarzschild black hole threaded by an infinte straight cosmic…

General Relativity and Quantum Cosmology · Physics 2011-01-27 Adrian C. Ottewill , Peter Taylor

We identify the relativistic-fluid counterpart of the Unruh effect, in which a comoving probe measures a Thermodynamic Unruh temperature. Frame changes in first-order hydrodynamics are recast as a local, time-dependent hyperbolic rotation…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Eren Erberk Erkul

We show that an analogue of the (four dimensional) image sum method can be used to reproduce the results, due to Krasnikov, that for the model of a real massless scalar field on the initial globally hyperbolic region IGH of two-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Claes R Cramer , Bernard S. Kay

We consider coordinate systems adapted to accelerated observers, construct a generalised Rindler metric and then adopt a specific form of it to compute the semiclassical Unruh temperature, using a WKB approximation within a Hamilton Jacobi…

High Energy Physics - Theory · Physics 2009-01-06 Rabin Banerjee , Bibhas Ranjan Majhi , Debraj Roy

The purpose of this review is to provide a pedagogical development of the Unruh effect and the thermofield double state. In Section 2, we construct Rindler spacetime and analyze the perspective of an observer undergoing constant…

High Energy Physics - Theory · Physics 2025-10-15 Gustavo Valdivia-Mera

We establish a one-to-one mapping between entanglement entropy, energy, and temperature (quantum entanglement mechanics) with black hole entropy, Komar energy, and Hawking temperature, respectively. We show this explicitly for 4-D…

General Relativity and Quantum Cosmology · Physics 2021-01-04 S. Mahesh Chandran , S. Shankaranarayanan

In the present work we investigate temperature effects on the spinor and scalar effetive QED in the context of Thermo Field Dynamics. Following Weisskopf's zero-point energy method, the problem of charge renormalization is reexamined and…

High Energy Physics - Theory · Physics 2007-05-23 J. L. Tomazelli , L. C. Costa

Spacetime boundaries with canonical Neuman or Dirichlet conditions preserve conformal invarience, but "mixed" boundary conditions which interpolate linearly between them can break conformal symmetry and generate interesting Renormalization…

High Energy Physics - Theory · Physics 2021-01-13 Andrew Loveridge

We examine the influence of the dispersion relation on the Unruh effect by Lorentz boosting the phase of Minkowski vacuum fluctuations endowed with an arbitrary dispersion relation. We find that, unlike what happens with a linear dispersion…

General Relativity and Quantum Cosmology · Physics 2021-04-28 F. Hammad , A. Landry , D. Dijamco

The energy of a particle moving on a spacetime, in principle, can affect the background metric. The modifications to it depend on the ratio of energy of the particle and the Planck energy, known as rainbow gravity. Here we find the explicit…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Gaurav Yadav , Baby Komal , Bibhas Ranjan Majhi

We assumed a stress tensor is necessary on the event horizon of a Schwarzschild black hole or on the Rindler horizon for the Israel matching conditions to be satisfied. We found the surface energy density $\rho_{s}$ is vanishing but the…

General Relativity and Quantum Cosmology · Physics 2016-02-16 Hristu Culetu

We study Hofstadter bilayers, i.e. coupled hopping models on two-dimensional square lattices in a perpendicular magnetic field. Upon tracing out one of the layers, we find an explicit expression for the resulting entanglement spectrum in…

Statistical Mechanics · Physics 2013-05-13 John Schliemann

Thermal scalar radiation in two spacetime dimensions is treated within relativistic classical physics. Part I involves an inertial frame where are given the analogues both of Boltzmann's derivation of the Stefan-Boltzmann law and also…

Classical Physics · Physics 2015-05-19 Timothy H. Boyer

Hawking effect from the Kinnersley spacetime is investigated using the improved Damour-Ruffini method with a new coordinate transformation. Hawking temperature of the horizons can be obtained point by point. It is found that Hawking…

General Relativity and Quantum Cosmology · Physics 2010-03-16 Jian Yang , Zheng Zhao , Wenbiao Liu
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