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The quantum stress tensor in the Unruh state for a conformal scalar propagating in a 4D Schwarzschild black hole spacetime is reconstructed in its leading behaviour at infinity and near the horizon by means of an effective action derived by…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Balbinot , Alessandro Fabbri , Ilya Shapiro

Black holes modeled by the Kerr metric are not semiclassically self-consistent at or below the inner horizon. The renormalized stress-energy tensor (RSET) of a scalar quantum field in the Unruh state has been found to diverge at the Kerr…

General Relativity and Quantum Cosmology · Physics 2024-08-23 Tyler McMaken

The quantum induced stress tensor of 3+1-dimensional Einstein gravity, with conformally coupled matter, is studied in an effective field theory approach. In this context, Riegert's non-local effective action is sufficient to reproduce the…

High Energy Physics - Theory · Physics 2025-11-10 Bing-Nan Liu , David A. Lowe , Larus Thorlacius

We consider a massless, minimally-coupled quantum scalar field on a Reissner-Nordstrom black hole background, and we study the leading asymptotic behavior of the expectation value of the stress energy tensor operator…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Orr Sela

The existence of trace anomalies for conformally coupled quantum fields in curved spacetimes, despite the vanishing of the trace of the conformally invariant classical stress-energy tensor, was firmly established in the 1970's, and…

General Relativity and Quantum Cosmology · Physics 2018-08-30 James M. Bardeen

Several investigations show that in a very small length scale there exists corrections to the entropy of black hole horizon. Due to fluctuations of the background metric and the external fields the action incorporates corrections. In the…

General Relativity and Quantum Cosmology · Physics 2014-05-21 Bibhas Ranjan Majhi , Sumanta Chakraborty

We examine the vacuum state and its corresponding renormalized stress-energy tensor (RSET) in static horizonless regular spacetime in both two and four dimensions. Using the local field formulation of the anomaly-induced effective action,…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Kota Numajiri , Kazumasa Okabayashi , Shinji Mukohyama

We provide a mode-sum prescription to directly compute the renormalized stress-energy tensor (RSET) for scalar fields in the Boulware vacuum. The method generalizes the recently developed extended coordinate method which was previously only…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Julio Arrechea , Cormac Breen , Adrian Ottewill , Lorenzo Pisani , Peter Taylor

A study is made of Hawking radiation from four-dimensional black holes using effective field theory methods. The trace anomaly for the stress tensor in a general curved spacetime background is reproduced using Riegert's action. The…

High Energy Physics - Theory · Physics 2025-11-13 David A. Lowe , Larus Thorlacius

We analyse a quantum observer who falls geodesically towards the Cauchy horizon of a $(1+1)$-dimensional eternal black hole spacetime with the global structure of the non-extremal Reissner-Nordstr\"om solution. The observer interacts with a…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Benito A. Juárez-Aubry , Jorma Louko

The effective action associated with the trace anomaly provides a general algorithm for approximating the expectation value of the stress tensor of conformal matter fields in arbitrary curved spacetimes. In static, spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul R. Anderson , Emil Mottola , Ruslan Vaulin

We numerically compute the renormalized expectation value $\langle\hat{\Phi}^{2}\rangle_{ren}$ of a minimally-coupled massless quantum scalar field in the interior of a four-dimensional Reissner-Nordstrom black hole, in both the…

General Relativity and Quantum Cosmology · Physics 2021-05-04 Assaf Lanir , Amos Ori , Noa Zilberman , Orr Sela , Ahron Maline , Adam Levi

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

We study the nature of the inner Cauchy horizon of a Reissner-Nordstr\"om black hole in a quantum context by means of the horizon wave-function obtained from modelling the electrically charged source as a Gaussian wave-function. Our main…

General Relativity and Quantum Cosmology · Physics 2015-04-29 Roberto Casadio , Octavian Micu , Dejan Stojkovic

A common feature of regular black hole spacetimes is the presence of an inner Cauchy horizon. The analogy to the Reissner-Nordstr\"om solution then suggests that these geometries suffer from a mass-inflation effect, rendering the Cauchy…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Alfio Bonanno , Antonio Panassiti , Frank Saueressig

We report here on a new method for calculating the renormalized stress-energy tensor (RSET) in black-hole (BH) spacetimes, which should also be applicable to dynamical BHs and to spinning BHs. This new method only requires the spacetime to…

General Relativity and Quantum Cosmology · Physics 2016-12-02 Adam Levi , Amos Ori

The strong cosmic censorship conjecture proposes that starting from generic initial data on some Cauchy surface, the solutions of the Einstein equation should not be extendable across the boundary of the domain of dependence of that…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Stefan Hollands , Christiane Klein , Jochen Zahn

We provide the quantization of a charged black hole. We consider a redefinition of the scalar constraint in order to render the algebra of constraints as a Lie algebra. We apply loop quantum gravity techniques adhered to a novel improved…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Florencia Benitez , Esteban Mato , Javier Olmedo

We study the renormalized stress-energy tensor (RSET) for static quantum states on (n+1)-dimensional, static, spherically symmetric black holes. By solving the conservation equations, we are able to write the stress-energy tensor in terms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dean Morgan , Stuart Thom , Elizabeth Winstanley , Phil M. Young

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
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