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We show, in complete accord with the usual Rindler picture, that detectors with constant acceleration $a$ in de Sitter (dS) and Anti de Sitter (AdS) spaces with cosmological constants $\Lambda$ measure temperatures $2\pi…

General Relativity and Quantum Cosmology · Physics 2010-04-06 S. Deser , Orit Levin

We consider the vacuum response of a particle detector in Anti-de Sitter spacetime, and in particular analyze how spacetime features such as curvature and dimensionality affect the response spectrum of an accelerated detector. We calculate…

General Relativity and Quantum Cosmology · Physics 2014-11-21 David Jennings

Anti-de Sitter spacetime and the static patch of de Sitter spacetime are arenas for investigating thermal and finite-size effects seen by an accelerated quantum observer. We consider an Unruh-DeWitt detector in uniform circular motion…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Cameron R. D. Bunney , Jorma Louko

The seminar discovery by Gibbons and Hawking that a freely falling detector observes an isotropic background of thermal radiation reveals that de Sitter space is equivalent to a thermal bath at the Gibbons-Hawking temperature in Minkowski…

General Relativity and Quantum Cosmology · Physics 2022-11-29 Wenting Zhou , Shijing Cheng , Hongwei Yu

We study gravitational and electromagnetic radiation generated by uniformly accelerated charged black holes in anti-de Sitter spacetime. This is described by the C-metric exact solution of the Einstein-Maxwell equations with a negative…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiri Podolsky , Marcello Ortaggio , Pavel Krtous

Anti-de Sitter space with identified points give rise to black-hole structures. This was first pointed out in three dimensions, and generalized to higher dimensions by Aminneborg et al. In this paper, we analyse several aspects of the five…

High Energy Physics - Theory · Physics 2009-10-31 Maximo Banados , Andres Gomberoff , Cristian Martinez

There is increasing interest in discrete or "pixelated" spacetime models as a foundation for a satisfactory theory of quantum gravity. If spacetime possesses a cellular structure, there should be observable consequences: for example, the…

High Energy Physics - Theory · Physics 2023-08-29 Paul C. W. Davies , Philip Tee

We consider the response of an Unruh detector to scalar fields in an expanding space-time. When combining transition elements of the scalar field Hamiltonian with the interaction operator of detector and field, one finds at second order in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Bjorn Garbrecht , Tomislav Prokopec

By a detector, one has in mind a point particle with internal energy levels, which when set in motion on a generic trajectory can get excited due to its interaction with a quantum field. Detectors have often been considered as a helpful…

General Relativity and Quantum Cosmology · Physics 2016-12-28 L. Sriramkumar

In this short note, we verify explicitly in static coordinates that the non trivial asymptotic Killing vectors at spatial infinity for anti-de Sitter space-times correspond one to one to the conformal Killing vectors of the conformally flat…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Glenn Barnich , Friedemann Brandt , Kim Claes

We study the finite time response of an Unruh-DeWitt particle detector described by a qubit (two-level system) moving with uniform constant acceleration in maximally symmetric spacetimes. The $D$ dimensional massless fermionic response…

High Energy Physics - Theory · Physics 2023-12-04 Shahnewaz Ahmed , Mir Mehedi Faruk , Muktadir Rahman

It is possible to associate temperatures with the non-extremal horizons of a large class of spherically symmetric spacetimes using periodicity in the Euclidean sector and this procedure works for the de Sitter spacetime as well. But, unlike…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Suprit Singh , Chandrima Ganguly , T. Padmanabhan

A detector undergoing uniform acceleration $a$ in a vacuum field responds just as though it were immersed in thermal radiation of temperature $T=\hbar a/2\pi k c$. A simple, intuitive derivation of this result is given for the case of a…

Quantum Physics · Physics 2009-11-10 Paul M. Alsing , Peter W. Milonni

We have investigated the Unruh effect in Anti de-Sitter (AdS) spacetime by examining the response function of an Unruh-DeWitt particle detector with uniform constant acceleration. An exact expression of the detector response function for…

High Energy Physics - Theory · Physics 2021-09-14 Shahnewaz Ahmed , Mir Mehedi Faruk

We investigate a quantum vacuum state for $1 + 1$ dimensional de Sitter space, corresponding to a region within a perfectly reflecting symmetric box of fixed physical size. We find that a particle detector inside the box registers zero…

High Energy Physics - Theory · Physics 2021-06-23 Paul Davies , Logan Thomas , George Zahariade

If the vacuum is passive for uniformly accelerated observers in anti-de Sitter space-time (i.e. cannot be used by them to operate a "perpetuum mobile"), they will (a) register a universal value of the Hawking-Unruh temperature, (b) discover…

High Energy Physics - Theory · Physics 2010-04-06 Detlev Buchholz , Martin Florig , Stephen J. Summers

A class of exact solutions of the Einstein-Maxwell equations is presented which describes an accelerating and rotating charged black hole in an asymptotically de Sitter or anti-de Sitter universe. The metric is presented in a new and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Podolsky , J. B. Griffiths

In the paper, the temperature associated with a dynamical spherically symmetric black hole or with a cosmological horizon is investigated from the point of view of a point-like detector. First, we briefly review the Hamilton-Jacobi…

High Energy Physics - Theory · Physics 2011-01-28 G. Acquaviva , R. Di Criscienzo , L. Vanzo , S. Zerbini

We investigate back reaction in de Sitter space in an approach where only states that are observationally accessible are included in the density matrix. Using the Bunch-Davies vacuum as the initial condition we find for a conformal scalar…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Tommi Markkanen

We analyze, in the paradigm of open quantum systems, the reduced dynamics of a freely-falling two-level detector in de Sitter space-time in weak interaction with a reservoir of fluctuating quantized conformal scalar fields in the de Sitter…

General Relativity and Quantum Cosmology · Physics 2011-02-23 Hongwei Yu
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