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We study the semiclassical Einstein field equations with a Klein-Gordon field in ultrastatic and static spacetimes. In both cases, the equations for the spacetime metric become constraint equations. In the ultrastatic case, the Hadamard…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Benito A. Juárez-Aubry

Using the Ashtekar-Sen variables of loop quantum gravity, a new class of exact solutions to the equations of quantum cosmology is found for gravity coupled to a scalar field, that corresponds to inflating universes. The scalar field, which…

High Energy Physics - Theory · Physics 2009-11-10 Stephon Alexander , Justin Malecki , Lee Smolin

This study aims to provide an analytical scheme for computing equilibrium configurations of relativistic stars by solving the Tolman-Oppenheimer-Volkoff equations directly in isotropic polar coordinates, as opposed to the commonly applied…

General Relativity and Quantum Cosmology · Physics 2024-06-12 Dániel Barta

We construct boson star configurations in quantum field theory using the semiclassical gravity approximation. Restricting our attention to the static case, we show that the semiclassical Einstein-Klein-Gordon system for a {\it single real…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Miguel Alcubierre , Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Darío Núñez , Olivier Sarbach

There are known models of spherical gravitational collapse in which the collapse ends in a naked shell-focusing singularity for some initial data. If a massless scalar field is quantized on the classical background provided by such a star,…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Tomohiro Harada , Hideo Iguchi , Ken-ichi Nakao , T. P. Singh , Takahiro Tanaka , Cenalo Vaz

We re-examine vacuum polarisation of a scalar field in a quasi-local volume including the horizon. We find that Hawking radiation rate is derived as a pure decay of vacuum due to scalar field interaction with classical gravity exactly in…

General Relativity and Quantum Cosmology · Physics 2012-05-22 Arundhati Dasgupta , Shohreh Rahmati

One of the obstacles to reconciling quantum theory with general relativity, is constructing a theory which is both consistent with observation, and and gives finite answers at high energy, so that the theory holds at arbitrarily short…

High Energy Physics - Theory · Physics 2024-12-10 Andrzej Grudka , Tim R. Morris , Jonathan Oppenheim , Andrea Russo , Muhammad Sajjad

There ought to exist a reformulation of quantum theory which does not depend on classical time. To achieve such a reformulation, we introduce the concept of an atom of space-time-matter (STM). An STM atom is a classical non-commutative…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Shounak De , Tejinder P. Singh , Abhinav Varma

We consider gravity in 3+1 spacetime dimensions coupled to $N$ scalar matter fields in a semiclassical limit where $N\to\infty$. The dynamical evolution of a black hole including the back-reaction of the Hawking radiation on the metric is…

High Energy Physics - Theory · Physics 2023-09-21 David A. Lowe , Larus Thorlacius

We study vacuum polarisation effects of a Dirac field coupled to an external scalar field and derive a semi-classical expansion of the regu-larised vacuum energy. The leading order of this expansion is given by a classical formula due to…

Mathematical Physics · Physics 2016-02-24 Jonas Lampart , Mathieu Lewin

It is assumed that the quantum vacuum may be studied as consisting of two contributions, with positive and negative energy respectively, which interact but slightly and may be displaced from each other. Then it is proposed that dark matter…

General Relativity and Quantum Cosmology · Physics 2008-02-08 E. S. Corchero

Semiclassical techniques have proven to be a very powerful method to extract physical effects from different quantum theories. Therefore, it is expected that in the near future they will play a very prominent role in the context of quantum…

General Relativity and Quantum Cosmology · Physics 2014-12-17 David Brizuela

We introduce a semiclassical Einstein-Langevin equation as a consistent dynamical equation for a first order perturbative correction to semiclassical gravity. This equation includes the lowest order quantum stress-energy fluctuations of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rosario Martin , Enric Verdaguer

The semiclassical approximation takes into account the gravitational contribution of zero-point energies. We model this contribution via the renormalized stress-energy tensor (RSET) of a massless scalar field, which we compute in a…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Julio Arrechea , Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

In order to investigate the effects of vacuum polarisation on mass inflation singularities, we study a simple toy model of a charged black hole with cross flowing radial null dust which is homogeneous in the black hole interior. In the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 W. G. Anderson , P. R. Brady , R. Camporesi

In the special case of a spherically symmetric solution of Einstein equations coupled to a scalar massless field, we examine the consequences on the exact solution imposed by a semiclassical treatment of gravitational interaction when the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Sergio Doplicher , Gerardo Morsella , Nicola Pinamonti

The bulk properties of spherically symmetric stars in general relativity can be obtained by integrating the Tolman-Oppenheimer-Volkoff (TOV) equations. In previous work we developed a "post-TOV" formalism - inspired by parametrized…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Kostas Glampedakis , George Pappas , Hector O. Silva , Emanuele Berti

We rewrite the Tolman -- Oppenheimer -- Volkoff (TOV) equations for four and higher dimensional static spherically symmetric stars so that they resemble the equations for anisotropic cosmology. This becomes possible by treating the…

General Relativity and Quantum Cosmology · Physics 2019-09-19 S. Kalyana Rama

Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein-Langevin…

General Relativity and Quantum Cosmology · Physics 2016-10-19 B. L. Hu , E. Verdaguer

It has been widely believed that, except in very extreme situations, the influence of gravity on quantum fields should amount to just small, sub-dominant contributions. This view seemed to be endorsed by the seminal results obtained over…

General Relativity and Quantum Cosmology · Physics 2010-05-12 William C. C. Lima , Daniel A. T. Vanzella
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