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We show that there is no superradiance for the Dirac field in the rotating BTZ black hole if the field vanishes at infinity. Then we outline the calculation of the expression for the renormalized energy-momentum tensor, the effective action…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Leonardo Ortíz , Nora Bretón

In this paper, we consider a quantum scalar field propagating on the Reissner-Nordstr\"om black hole spacetime. We compute the renormalized stress-energy tensor for the field in the Hartle-Hawking, Boulware and Unruh states. When the field…

General Relativity and Quantum Cosmology · Physics 2023-07-21 Julio Arrechea , Cormac Breen , Adrian Ottewill , Peter Taylor

We study the canonical quantization of a massless charged scalar field on a Reissner-Nordstrom black hole background. Our aim is to construct analogues of the standard Boulware, Unruh and Hartle-Hawking quantum states which can be defined…

High Energy Physics - Theory · Physics 2023-01-24 Visakan Balakumar , Rafael P. Bernar , Elizabeth Winstanley

We revisit the construction by Sanders [S1] of the Hartle-Hawking-Israel state for a free quantum Klein-Gordon field on a spacetime with a static, bifurcate Killing horizon and a wedge reflection. Using the notion of the Calder{\'o}n…

Mathematical Physics · Physics 2018-01-22 Christian Gérard

The one-loop quantum corrections for BTZ black hole are considered using the dimensionally reduced 2D model. Cases of 3D minimal and conformal coupling are analyzed. Two cases are considered: minimally coupled and conformally coupled 3D…

High Energy Physics - Theory · Physics 2009-11-07 Maja Buric , Marija Dimitrijevic , Voja Radovanovic

A massless scalar field minimally coupled to gravity and propagating in the Schwarzschild spacetime is considered. After dimensional reduction under spherical symmetry the resulting 2D field theory is canonically quantized and the…

High Energy Physics - Theory · Physics 2008-11-26 R. Balbinot , A. Fabbri , V. Frolov , P. Nicolini , P. Sutton , A. Zelnikov

The classical black hole spacetime is modified semiclassically, depending strongly on the choice of the quantum states. In particular, for the Boulware state the spacetime often takes a wormhole structure mimicking closely a spacetime with…

High Energy Physics - Theory · Physics 2024-01-17 Yohan Potaux , Debajyoti Sarkar , Sergey N. Solodukhin

Minimally coupled 4D scalar fields in Schwarzschild space-time are considered. Dimensional reduction to 2D leads to a well known anomaly induced effective action, which we consider here in a local form with the introduction of auxiliary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Balbinot , A. Fabbri

We calculate the thermal renormalized energy-momentum tensor components of a massless scalar field, leading to trace anomaly, on a $(1+1)$ dimensional static black hole spacetime. Using these, the energy density and flux, seen by both…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Saurav Samanta , Bibhas Ranjan Majhi

We consider a free quantized Klein-Gordon field in a spacetime (M, g) containing a stationary black hole, more precisely a spacetime with a stationary bifurcate Killing horizon in the sense of Kay and Wald. We prove the existence of the…

Mathematical Physics · Physics 2021-04-19 Christian Gérard

We compute the transition rate of an Unruh-DeWitt detector coupled both to a ground state and to a KMS state of a massless, conformally coupled scalar field on a static BTZ black hole with Robin boundary conditions. We observe that,…

High Energy Physics - Theory · Physics 2021-03-30 Lissa de Souza Campos , Claudio Dappiaggi

We study the energy-momentum tensor for the real scalar field on the 1+1 dimensional BTZ black hole. We obtain closed expressions for it.

High Energy Physics - Theory · Physics 2015-05-30 L. Ortíz

Quantum effects are studied in both Schwarzschild spacetime and a spacetime in which a null shell collapses to form a black hole via the vacuum polarization $\langle \phi^2 \rangle$ and stress-energy tensor $\langle T_{ab} \rangle$ for a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Paul R. Anderson , Amanda Peake , Shohreh Gholizadeh Siahmazgi

We consider a massless quantum scalar field on a two-dimensional space-time describing a thin shell of matter collapsing to form a Schwarzschild-anti-de Sitter black hole. At early times, before the shell starts to collapse, the quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Paul G. Abel , Elizabeth Winstanley

We consider the problem of quantum field theory on the Bertotti-Robinson space-time, which arises naturally as the near horizon geometry of an extremal Reissner-Nordstrom black hole but can also arise in certain near-horizon limits of…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Adrian C. Ottewill , Peter Taylor

The late-time behaviors of the modes in the Unruh state for various eternal two-dimensional black holes are discussed. The Unruh state is designed to be a state that mimics the late-time behaviors of quantized fields that Hawking predicted…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Shohreh Gholizadeh Siahmazgi

Quantum field theory on rotating black hole spacetimes is plagued with technical difficulties. Here, we describe a general method to renormalize and compute the vacuum polarization of a quantum field in the Hartle-Hawking state on rotating…

General Relativity and Quantum Cosmology · Physics 2015-05-06 Hugo R. C. Ferreira

We consider the definition of the Boulware and Hartle-Hawking states for quantum fields on black hole space-times. The properties of these states on a Schwarzschild black hole have been understood for many years, but neither of these states…

High Energy Physics - Theory · Physics 2023-03-24 Visakan Balakumar , Rafael Bernar , Elizabeth Winstanley

This review gives an introduction into problems, concepts and techniques when quantizing matter fields near black holes. The first part focusses on quantum fields in general curved space-times. The second part is devoted to a detailed…

High Energy Physics - Theory · Physics 2015-06-26 Andreas Wipf

We consider the quantum stress-energy tensor of a massless scalar field near the Cauchy horizon interior to the Reissner-Nordstr\"om black hole spacetime. We construct the quantum state by considering the two-point function on a negative…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Peter Taylor
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