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We set up a consistent renormalizable perturbation theory of a scalar field in a nontrivial alpha vacuum in de Sitter space. Although one representation of the effective action involves non-local interactions between anti-podal points, we…

High Energy Physics - Theory · Physics 2010-04-05 Kevin Goldstein , David A. Lowe

The vacuum expectation value of the stress-energy tensor $\left\langle 0\left| T_{\mu\nu} \right|0\right\rangle$ is calculated in several multiply connected flat spacetimes for a massive scalar field with arbitrary curvature coupling. We…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Tsunefumi Tanaka , William A. Hiscock

The approximate stress-energy tensor of the conformally invariant massless spin-1/2 field in the Hartle-Hawking state in the Schwarzschild spacetime is constructed. It is shown that by solving the conservation equation in conformal space…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jerzy Matyjasek

The backreaction on the Randall-Sundrum warped spacetime is determined in presence of scalar field in the bulk. A general analysis shows that the stability of such a model can be achieved only if the scalar field action has non-canonical…

High Energy Physics - Theory · Physics 2012-04-10 Debaprasad Maity , Soumitra SenGupta , Sourav Sur

We propose a canonical description of the dynamics of quantum systems on a class of Robertson-Walker space-times. We show that the worldline of an observer in such space-times determines a unique orbit in the local conformal group SO(4,1)…

High Energy Physics - Theory · Physics 2022-05-04 Detlev Buchholz , Jens Mund , Stephen J. Summers

Vacuum energy density and stresses are investigated for a scalar field in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions and in anti-de Sitter spacetime with two parallel branes. On the branes the…

High Energy Physics - Theory · Physics 2012-10-01 A. A. Saharian

This article presents numerical work on a special case of the cosmological semiclassical Einstein equation (SCE). The SCE describes the interaction of relativistic quantum matter by the expected value of the renormalized stress-energy…

General Relativity and Quantum Cosmology · Physics 2022-06-17 Hanno Gottschalk , Nicolai Rothe , Daniel Siemssen

We propose an Einstein-{\ae}ther scalar-tensor cosmological model. In particular in the scalar-tensor Action Integral we introduce the {\ae}ther field with {\ae}ther coefficients to be functions of the scalar field. This cosmological model…

General Relativity and Quantum Cosmology · Physics 2021-07-28 Andronikos Paliathanasis , Genly Leon

We construct and discuss Hadamard states for both scalar and Dirac spinor fields in a large class of spatially flat Friedmann-Robertson-Walker spacetimes characterised by an initial phase either of exponential or of power-law expansion. The…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Claudio Dappiaggi , Thomas-Paul Hack , Nicola Pinamonti

The components of the renormalized quantum stress tensor for a massive vector field in the spacetime of a pointlike global monopole are determined analytically in the Schwinger-DeWitt approximation. The general results are employed to…

General Relativity and Quantum Cosmology · Physics 2019-04-30 Owen Pavel Fernández Piedra

We derive constraints on the form of the renormalized stress tensor for states on Kerr space-time based on general physical principles: symmetry, the conservation equations, the trace anomaly and regularity on (sections of) the event…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Adrian C. Ottewill , Elizabeth Winstanley

We study spherically symmetric solutions in f(R) theories and its compatibility with local tests of gravity. We start by clarifying the range of validity of the weak field expansion and show that for many models proposed to address the Dark…

General Relativity and Quantum Cosmology · Physics 2010-10-27 I. Navarro , K. Van Acoleyen

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 prove existence and uniqueness of solutions of the semiclassical Einstein equation in flat cosmological spacetimes driven by a quantum massive scalar field with arbitrary coupling to the scalar curvature. In the semiclassical…

Mathematical Physics · Physics 2021-11-24 Paolo Meda , Nicola Pinamonti , Daniel Siemssen

We investigate back reaction in de Sitter space in an approach where only states that are observationally accessible are included in the density matrix. Using the Bunch-Davies vacuum as the initial condition we find for a conformal scalar…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Tommi Markkanen

We study a conformally coupled scalar-tensor theory with a quartic potential possessing local conformal symmetry up to a boundary term. We show that requiring the restoration of the full local conformal symmetry fixes the counterterms that…

High Energy Physics - Theory · Physics 2023-05-25 Giorgos Anastasiou , Ignacio J. Araya , Mairym Busnego-Barrientos , Cristobal Corral , Nelson Merino

In this thesis, we investigate the method of conformal renormalization applied to theories with degrees of freedom beyond the metric ones. Specifically, we examine this method in the presence of a scalar field. To do this, as part of a…

High Energy Physics - Theory · Physics 2023-11-13 Mairym Busnego-Barrientos

The duality between a higher curvature $f(R)$ gravity model and a scalar-tensor theory helps to bring out the role of the additional degree of freedom originating from the higher derivative terms in the gravity action. Such a degree of…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Hitender Kumar , Tanmoy Paul , Soumitra SenGupta

In this work we investigate the semi-classical backreaction for a quantised conformal scalar field and classical vacuum energy. In contrast to the usual approximation of a closed system, our analysis includes an environmental sector such…

High Energy Physics - Theory · Physics 2017-11-21 Tommi Markkanen

A new model to describe the dynamics of particles undergoing diffusion in general relativity is proposed. The evolution of the particle system is described by a Fokker-Planck equation without friction on the tangent bundle of spacetime. It…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Simone Calogero
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