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The full computation of the renormalized expectation values $\langle\Phi^{2}\rangle_{ren}$ and $\langle\hat{T}_{\mu\nu}\rangle_{ren}$ in 4D black hole interiors has been a long standing challenge, which has impeded the investigation of…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Assaf Lanir , Adam Levi , Amos Ori

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

In an ongoing effort to explore quantum effects on the interior geometry of black holes, we explicitly compute the semiclassical flux components $\left\langle T_{uu}\right\rangle _{ren}$ and $\left\langle T_{vv}\right\rangle _{ren}$ ($u$…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Noa Zilberman , Adam Levi , Amos Ori

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

In quantum field theory applied to black hole spacetimes, substantial evidence suggests that the Unruh and Hartle-Hawking vacuum states become singular at Cauchy horizons. This raises essential questions regarding the impact of quantum…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Julio Arrechea , Giulio Neri , Stefano Liberati

Classically, the inner horizon of a perturbed, rotating black hole undergoes an instability known as mass inflation, wherein the spacetime curvature diverges as a result of hyper-relativistic crossing streams of ingoing and outgoing…

General Relativity and Quantum Cosmology · Physics 2022-07-05 Tyler McMaken , Andrew J. S. Hamilton

We derive explicit expressions for the two-point function of a massless scalar field in the interior region of a Reissner-Nordstrom black hole, in both the Unruh and Hartle-Hawking quantum states. The two-point function is expressed in…

General Relativity and Quantum Cosmology · Physics 2018-01-25 Assaf Lanir , Adam Levi , Amos Ori , Orr Sela

We present a numerical calculation of the expectation value of the quantum angular-momentum current flux density for a scalar field in the Unruh state near the inner horizon of a Kerr-de Sitter black hole. Our results indicate that this…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Christiane Klein , Mojgan Soltani , Marc Casals , Stefan Hollands

We compute the semiclassical current and stress-energy fluxes both at the event and Cauchy horizon of a near-extremal Reissner-Nordstr\"om black hole. We consider a minimally-coupled, massless, charged scalar field in the Unruh state,…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Maria Alberti , Jochen Zahn

An approximate form for the vacuum averaged stress-energy tensor of a conformal spin-2 quantum field on a black hole background is employed as a source term in the semiclassical Einstein equations. Analytic corrections to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-10-28 David Hochberg , Sergey V. Sushkov

In this work, we have considered a spherically symmetric non-rotating charged black hole geometry where both the Newton's gravitational constant and the charge of the black hole flows with the energy scale. We have used the Kretschmann…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Arpita Jana , Soham Sen , Sunandan Gangopadhyay

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 employ a recently developed mode-sum regularization method to compute the renormalized stress-energy tensor of a quantum field in the Kerr background metric (describing a stationary spinning black hole). More specifically, we consider a…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Adam Levi , Ehud Eilon , Amos Ori , Maarten van de Meent

We construct an analytic model of static semiclassical backreaction for a Schwarzschild black hole in the Hartle--Hawking state enclosed within a finite spherical cavity. Using a minimal renormalized stress--energy tensor consistent with…

General Relativity and Quantum Cosmology · Physics 2026-04-14 G. G. L. Nashed , Alnadhief H. A. Alfedeel , Tiberiu Harko

The expectation value $\langle\varphi^2\rangle$ in the Hartle-Hawking vacuum is calculated for minimally-coupled neutral scalar fields at the horizon of a charged dilatonic black hole.

High Energy Physics - Theory · Physics 2013-12-17 Kiyoshi Shiraishi

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

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

We analyze and compute the semiclassical stress-energy flux components, the outflux $\langle T_{uu}\rangle$ and the influx $\langle T_{vv}\rangle$ ($u$ and $v$ being the standard null Eddington coordinates), at the inner horizon (IH) of a…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Noa Zilberman , Amos Ori

The computation of the renormalized stress-energy tensor or $\left\langle\phi^{2}\right\rangle_{ren}$ in curved spacetime is a challenging task, at both the conceptual and technical levels. Recently we developed a new approach to compute…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Adam Levi , Amos Ori

We obtain renormalized stress tensor of a mass-less, charge-less dynamical quantum scalar field, minimally coupled with a spherically symmetric static Lukewarm black hole. In two dimensional analog the minimal coupling reduces to the…

General Physics · Physics 2013-05-30 H. Ghaffarnejad , H. Neyad , M. A. Mojahedi
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