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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

Conformally flat spacetimes with an elastic stress energy tensor given by a diagonal trace-free anisotropic pressure tensor are investigated using 1+3 formalism. We show how the null tetrad Ricci components are related to the pressure…

Mathematical Physics · Physics 2015-01-13 I. Brito , M. P. Machado Ramos

We study a viable connection between the circular-equatorial orbits and reflection symmetry across the equatorial plane of a vacuum stationary axis-symmetric spacetime in general relativity. The behavior of the circular equatorial orbits in…

General Relativity and Quantum Cosmology · Physics 2021-07-29 Sayak Datta , Sajal Mukherjee

Scalar-tensor theories are one of the most natural and well-constrained alternative theories of gravity, while still allowing for significant deviations from general relativity. We present the equations of motion of nonspinning compact…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

We use a dynamical systems analysis to investigate the future behaviour of Einstein-Aether cosmological models with a scalar field coupling to the expansion of the aether and a non-interacting perfect fluid. The stability of the equilibrium…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Patrik Sandin , Bassemah Alhulaimi , Alan Coley

This dissertation presents a semiclassical analysis of conical topology change in $1+1$ spacetime dimensions wherein, to lowest order, the ambient spacetime is classical and fixed while the scalar field coupled to it is quantized. The…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Eric B. Jones

We study the non-linear BGK model in 1d coupled to a spatially varying thermostat. We show existence, local uniqueness and linear stability of a steady state when the linear coupling term is large compared to the non-linear self interaction…

Analysis of PDEs · Mathematics 2023-05-03 Josephine Evans , Angeliki Menegaki

We study the regularized vacuum stress tensor of scalar fields in maximally symmetric spacetime and assess the feasibility of driving primordial inflation or current cosmic acceleration by analyzing the existence of solutions to the…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Xuan Ye

We discuss some of the issues which we encounter when we try to invoke the scalar-tensor theories of gravitation as a theoretical basis of quintessence. One of the advantages of appealing to these theories is that they allow us to implement…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yasunori Fujii

A new variational technique determines the general condition of equilibrium of a rotating gravito-electromagnetic system and provides a modified dynamical equation of motion from where it emerges a so-far unforseen topological torsion…

Space Physics · Physics 2019-03-25 Mario J. Pinheiro

Building on general formulas obtained from the approximate renormalized effective action, the approximate stress-energy tensor of the quantized massive scalar field with arbitrary curvature coupling in the spacetime of charged black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Waldemar Berej , Jerzy Matyjasek

In the context of scalar-tensor models of dark energy and inflation, the dynamics of vacuum scalar-tensor cosmology are analysed without specifying the coupling function or the scalar field potential. A conformal transformation to the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Faraoni , M. N. Jensen , S. A. Theuerkauf

Scalar-tensor (ST) gravity is considered in the case where the scalar is an external field. We show that General Relativity (GR) and usual ST gravity are particular cases of the External Scalar-Tensor (EST) gravity. It is shown with a…

General Relativity and Quantum Cosmology · Physics 2016-06-08 Bertrand Chauvineau , Davi C. Rodrigues , Júlio C. Fabris

We calculate the vacuum stability conditions and renormalisation group equations for the extensions of standard model with a higher colour multiplet scalar up to the representation $\mathbf{15'}$ that leaves the strong interaction…

High Energy Physics - Phenomenology · Physics 2017-10-25 Matti Heikinheimo , Kristjan Kannike , Florian Lyonnet , Martti Raidal , Kimmo Tuominen , Hardi Veermäe

We consider the possibility to produce a bouncing universe in the framework of scalar-tensor gravity models in which the scalar field potential may be negative, and even unbounded from below. We find a set of viable solutions with nonzero…

General Relativity and Quantum Cosmology · Physics 2015-07-15 B. Boisseau , H. Giacomini , D. Polarski , A. A. Starobinsky

We investigate the combined effects of spatial curvature and topology on the properties of the vacuum state for a charged scalar field localized on the (2+1)-dimensional Beltrami pseudosphere, assuming that the field obeys quasiperiodicity…

High Energy Physics - Theory · Physics 2026-03-02 T. A. Petrosyan

We discuss non-equilibrium extensions of the Casimir force (due to electromagnetic fluctuations), where the objects as well as the environment are held at different temperatures. While the formalism we develop is quite general, we focus on…

Quantum Physics · Physics 2014-10-31 Matthias Krüger , Thorsten Emig , Giuseppe Bimonte , Mehran Kardar

The cosmological evolution of free massless vector or tensor (but not gauge) fields minimally coupled to gravity is analyzed. It is shown that there are some unstable solutions for these fields in De Sitter background. The back reaction of…

Astrophysics · Physics 2009-12-30 A. D. Dolgov

We consider static charged fluid spheres with a cosmological constant. We assume a polytropic equation of state, $p \propto \rho^\Gamma$, and a power law charge distribution, $q\propto r^n$. Using this, we convert the generalised…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Alex Stornelli , Anish Agashe

We establish the extended formalism for description of the static spherically symmetric relativistic non-equilibrium stellar systems in the formation of which the radiation pressure plays the key role. The main concept of this extended…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Alexander B. Balakin , Zagir Z. Tukbaev