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We give a simplified approach to Kunzinger & Saemann's theory of Lorentzian length spaces in the globally hyperbolic case; these provide a nonsmooth framework for general relativity. We close a gap in the regularly localizable setting, by…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Robert J. McCann

The zero-point energy of a conducting spherical shell is evaluated by imposing boundary conditions on the potential, and on the ghost fields. The scheme requires that temporal and tangential components of perturbations of the potential…

High Energy Physics - Theory · Physics 2008-11-26 Giampiero Esposito , Alexander Yu. Kamenshchik , Klaus Kirsten

General quantum gravity arguments predict that Lorentz symmetry might not hold exactly in nature. This has motivated much interest in Lorentz breaking gravity theories recently. Among such models are vector-tensor theories with preferred…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Metin Gurses , Cetin Senturk

We propose a technically natural scenario whereby an initially large cosmological constant (c.c.) is relaxed down to the observed value due to the dynamics of a scalar evolving on a very shallow potential. The model crucially relies on a…

High Energy Physics - Theory · Physics 2017-01-04 Lasma Alberte , Paolo Creminelli , Andrei Khmelnitsky , David Pirtskhalava , Enrico Trincherini

Quantum systems often contain negative energy densities. In general relativity, negative energies lead to time advancement, rather than the usual time delay. As a result, some Casimir systems appear to violate energy conditions that would…

High Energy Physics - Theory · Physics 2009-11-11 N. Graham

A comprehensive analysis of general relativistic spacetimes which admit a shear-free, irrotational and geodesic timelike congruence is presented. The equations governing the models for a general energy-momentum tensor are written down.…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Alan A. Coley , Des J. Mc Manus

Null Energy Condition (NEC) requires the equation of state (EoS) of the universe $w_u$ satisfy $w_u\geq-1$, which implies, for instance in a universe with matter and dark energy dominating…

General Relativity and Quantum Cosmology · Physics 2008-10-28 Taotao Qiu , Yi-Fu Cai , Xin-Min Zhang

In this paper, we calculate the stress-energy tensor for a quantized massless conformally coupled scalar field in the background of a conformally flat brane-world geometries, where the scalar field satisfying Robin boundary conditions on…

High Energy Physics - Theory · Physics 2009-11-10 M. R. Setare

We establish the relationship between the space-time structure of regular spherically-symmetrical black holes and the character of violation of the strong energy condition (SEC). It is shown that it is violated in any static region under…

General Relativity and Quantum Cosmology · Physics 2014-11-20 O. B. Zaslavskii

Wormhole and time machine are very interesting objects in general relativity. However, they need exotic matters which are impossible in classical level to support them. But if we introduce the quantum effects of gravity into the…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Li-Fang Li , Jian-Yang Zhu

Various properties of the Misner-Sharp spherically symmetric gravitational energy E are established or reviewed. In the Newtonian limit of a perfect fluid, E yields the Newtonian mass to leading order and the Newtonian kinetic and potential…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Sean A. Hayward

As Einstein's gravity is a non-renormalizable theory, it can be a good description of physics only at the scales of energy or spacetime curvature below the Planck mass. Moreover, it requires the presence of an infinite tower of…

General Relativity and Quantum Cosmology · Physics 2025-08-22 Ziyue Zhu , Alexey S. Koshelev , Yang Liu , Anna Tokareva

One of the fundamental questions of theoretical cosmology is whether the universe can undergo a non-singular bounce, i.e., smoothly transit from a period of contraction to a period of expansion through violation of the null energy condition…

General Relativity and Quantum Cosmology · Physics 2020-11-26 Anna Ijjas , Paul J. Steinhardt

We study the properties of the congruence of null geodesics propagating near the so-called truly naked horizons (TNH) - objects having finite Kretschmann scalar but with diverging tidal acceleration for freely falling observers. The…

General Relativity and Quantum Cosmology · Physics 2009-08-25 Naresh Dadhich , Oleg B. Zaslavskii

Available proofs of the regularity of stationary black hole event horizons rely on certain assumptions on the existence of sections that imply a $C^1$ differentiability assumption. By using a quotient bundle approach, we remedy this problem…

General Relativity and Quantum Cosmology · Physics 2025-08-12 R. A. Hounnonkpe , E. Minguzzi

It is well-known that gravitationally induced vacuum polarization often violates the point-wise energy conditions and sometimes violates the averaged energy conditions. In this paper I begin a systematic attack on the question of where and…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Matt Visser

In this paper, using the ensemble-averaged theory, we define the thermodynamic free energy of Einstein-Gauss-Bonnet (EGB) black holes in anti-de Sitter (AdS) spacetime. This approach derives the gravitational partition function by…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Md Sabir Ali , C. Fairoos , C. L. Ahmed Rizwan , T. K. Safir , Peng Cheng

Motivated by a desire to understand quantum fluctuation energy densities and stress within a spatially varying dielectric medium, we examine the vacuum expectation value for the stress tensor of a scalar field with arbitrary conformal…

High Energy Physics - Theory · Physics 2016-05-17 Kimball A. Milton , Stephen A. Fulling , Prachi Parashar , Pushpa Kalauni , Taylor Murphy

Considering the Casimir effect due to phononic excitations of a weakly interacting dilute {BEC}, we derive a re-normalized expression for the zero temperature Casimir energy $\mathcal{E}_c$ of a {BEC} confined to a parallel plate geometry…

Other Condensed Matter · Physics 2008-12-18 Jürgen Schiefele , Carsten Henkel

Classical energy conditions are investigated in generic static and spherically symmetric spacetimes. In setups with nonconstant $g_{tt} g_{rr}$, the appearance of horizons can signal the violation of the null energy condition and the…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Zi-Liang Wang , Emmanuele Battista