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We investigate numerically spherically symmetric collapse of a scalar field in the semi-classical approximation. We first verify that our code reproduces the critical phenomena (the Choptuik effect) in the classical limit and black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shai Ayal , Tsvi Piran

We quantize spherically symmetric vacuum gravity without gauge fixing the diffeomorphism constraint. Through a rescaling, we make the algebra of Hamiltonian constraints Abelian and therefore the constraint algebra is a true Lie algebra.…

General Relativity and Quantum Cosmology · Physics 2013-12-18 Rodolfo Gambini , Jorge Pullin

Motivated by the quest for black holes in AdS braneworlds, and in particular by the holographic conjecture relating 5D classical bulk solutions with 4D quantum corrected ones, we numerically solve the semiclassical Einstein equations…

High Energy Physics - Theory · Physics 2008-11-26 A. Fabbri , S. Farese , J. Navarro-Salas , G. J. Olmo , H. Sanchis-Alepuz

We present analytic stationary and axially-symmetric black hole solutions to the semiclassical Einstein equations that are sourced by the trace anomaly. We also find that the same spacetime geometry satisfies the field equations of a subset…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Pedro G. S. Fernandes

The path integral approach to a quantum theory of gravity is widely regarded as an indispensable strategy. However, determining what additional elements, beyond black hole or AdS spacetime, should be incorporated into the path integral…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Peng Cheng , Yu-Xiao Liu , Shao-Wen Wei

We propose a quantum model of the Schwarzschild black hole as a quantum mechanics of a system of fermionic degrees of freedom. The system has a constant density of states and a Fermi energy that is inversely proportional to the size of the…

High Energy Physics - Theory · Physics 2024-08-06 Chong-Sun Chu , Rong-Xin Miao

We present a class of exact scalar-tensor black holes for a shift-symmetric part of the Horndeski action. The action includes a higher order scalar tensor interaction term. We find that for a static and spherically symmetric space-time, the…

General Relativity and Quantum Cosmology · Physics 2014-09-11 Eugeny Babichev , Christos Charmousis

Quantum field theory in a semiclassical background can be derived as an approximation to quantum gravity from a weak-coupling expansion in the inverse Planck mass. Such an expansion is studied for evolution on "nice-slices" in the spacetime…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings

We study the quantization of a scalar field on a classical background given by the Szekeres Class of solutions, which represent the collision of two gravitational plane waves with constant polarization. These solutions consist of two…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Miquel Dorca

We argue that black holes microstates leave an imprint on the gravitational vacuum through their virtual fluctuations. This imprint yields a power law fall off -- rather than an exponential fall off -- for the entanglement of planck scale…

High Energy Physics - Theory · Physics 2025-05-16 Samir D. Mathur

This thesis is focussed to study various aspects of black hole physics. Our approach is a semi-classical type, where the spacetime geometry of black holes is considered to be classical but the fields moving in the background are quantum in…

General Relativity and Quantum Cosmology · Physics 2012-09-18 Sujoy Kumar Modak

We analyze the semiclassical Schwarzschild geometry in the Boulware quantum state in the framework of two-dimensional (2D) dilaton gravity. The classical model is defined by the spherical reduction of Einstein's gravity sourced with…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Adrián del Río , F. Javier Marañón-González , José Navarro-Salas

In this paper we study the vacuum quantum fluctuations of the stationary modes of an uncharged scalar field with mass $m$ around a Schwarzschild black hole with mass $M$, at zero and non-zero temperatures. The procedure consists of…

General Relativity and Quantum Cosmology · Physics 2018-01-10 C. R. Muniz , M. O. Tahim , M. S. Cunha , H. S. Vieira

Black hole spacetimes are semiclassically not static. For black holes whose lifetime is larger than the age of the universe we compute, in leading order, the power spectrum of deviations of the electromagnetic charge from it's average…

High Energy Physics - Theory · Physics 2010-11-01 Michael Crescimanno

Coherent or semiclassical states in canonical quantum gravity describe the classical Schwarzschild space-time. By tracing over the coherent state wavefunction inside the horizon, a density matrix is derived. Bekenstein-Hawking entropy is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Arundhati Dasgupta

The first-order semiclassical Einstein field equations are solved in the interior of the Schwarzschild-Tangherlini black holes. The source term is taken to be the stress-energy tensor of the quantized massive scalar field with arbitrary…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Jerzy Matyjasek , Pawel Sadurski

A regular static, spherically symmetric electrically charged black hole solution of general relativity coupled to a new theory for nonlinear electrodynamics is presented. This theory has the interesting feature that, at far distances from…

High Energy Physics - Theory · Physics 2021-08-27 Mohammad Bagher Jahani Poshteh , Nematollah Riazi

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

Kerr-Schild solutions to the vacuum Einstein equations are considered from the viewpoint of integral equations. We show that, for a class of Kerr-Schild fields, the stress-energy tensor can be regarded as a total divergence in Minkowski…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris Doran , Anthony Lasenby

There have been a number of suggestions that the r = 0 singularity of a spherically symmetric (uncharged) evaporating black hole can be circumvented by a quantum transition to a white hole, which eventually releases all trapped quantum…

General Relativity and Quantum Cosmology · Physics 2019-04-08 James M. Bardeen