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This paper is devoted to study the energy problem in general relativity using approximate Lie symmetry methods for differential equations. We evaluate second-order approximate symmetries of the geodesic equations for the stringy charged…

广义相对论与量子宇宙学 · 物理学 2011-04-07 M. Sharif , Saira Waheed

We propose a generalisation of the Weak Gravity Conjecture in de Sitter space by studying charged black-holes and comparing the gravitational and an abelian gauge forces. Using the same condition as in flat space, namely the absence of…

高能物理 - 理论 · 物理学 2020-10-28 Ignatios Antoniadis , Karim Benakli

We find static charged black hole solutions in nonlinear massive gravity. In the parameter space of two gravitational potential parameters $(\alpha, \beta)$ we show that below the Compton wavelength the black hole solutions reduce to that…

高能物理 - 理论 · 物理学 2013-03-14 Yi-Fu Cai , Damien A. Easson , Caixia Gao , Emmanuel N. Saridakis

We prove that there exists a~large-data and global-in-time weak solution to a~system of partial differential equations describing an unsteady flow of an incompressible heat-conducting rate-type viscoelastic stress-diffusive fluid filling up…

偏微分方程分析 · 数学 2025-04-18 Michal Bathory , Miroslav Bulíček , Josef Málek

In this paper, we study the gravitational collapse of a fluid ball undergoing dissipation in the form of heat flux, in the framework of $f(R,T)$ gravity. To apply the junction conditions in order to match the interior and the exterior…

广义相对论与量子宇宙学 · 物理学 2025-01-09 Uttaran Ghosh , Sarbari Guha

Several independent cosmological data, collected within the last twenty years, revealed the accelerated expansion rate of the Universe, usually assumed to be driven by the so called dark energy, which, according to recent estimates,…

宇宙学与河外天体物理 · 物理学 2020-10-16 Marek Demianski , Elisabeta Lusso , Maurizio Paolillo , Ester Piedipalumbo , Guido Risaliti

We study a noninteracting supersymmetric model in an expanding FRW spacetime. A soft supersymmetry breaking induces a nonzero contribution to the vacuum energy density. A short distance cutoff of the order of Planck length provides a scale…

高能物理 - 理论 · 物理学 2011-05-13 Neven Bilic

The weak field approximation in a model of de Sitter gravity is investigated in the static and spherically symmetric case, under the assumption that the vacuum spacetime without perturbations from matter fields is a torsion-free de Sitter…

广义相对论与量子宇宙学 · 物理学 2013-06-12 Jia-An Lu , Chao-Guang Huang

We give a conjecture on the lower bound of the ADM mass $M$ by using the null energy condition. The conjecture includes a Penrose-like inequality $3M\geq\kappa\mathcal{A}/(4\pi)+\sqrt{\mathcal{A}/4\pi}$ and the Penrose inequality $…

广义相对论与量子宇宙学 · 物理学 2022-09-02 Run-Qiu Yang , Li Li , Rong-Gen Cai

In this paper we study static solutions with more general symmetries than the spherical symmetry of the five-dimensional Einstein-Chern-Simons gravity. In this context, we study the coupling of the extra bosonic field $% h^{a}$ with…

广义相对论与量子宇宙学 · 物理学 2016-07-28 Juan Crisóstomo , Fernando Gomez , Patricio Mella , Cristian Quinzacara , Patricio Salgado

We argue that all consistent 4D quantum field theories obey a spacetime-averaged weak energy inequality $\langle T^{00} \rangle \ge -C/L^4$, where $L$ is the size of the smearing region, and $C$ is a positive constant that depends on the…

高能物理 - 理论 · 物理学 2016-11-03 Kara Farnsworth , Markus A. Luty , Valentina Prilepina

We revisit here a recent work on regular rotating black holes. We introduce a new mass function generalizing the commonly used Bardeen and Hayward mass functions and extend the recently proposed solutions in order to accommodate a…

广义相对论与量子宇宙学 · 物理学 2014-05-23 J. C. S. Neves , Alberto Saa

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…

高能物理 - 理论 · 物理学 2016-05-17 Kimball A. Milton , Stephen A. Fulling , Prachi Parashar , Pushpa Kalauni , Taylor Murphy

Introducing a new notion of generalized suitable weak solutions, we first prove validity of the energy inequality for such a class of weak solutions to the Navier-Stokes equations in the whole space $\mathbb{R}^n$. Although we need certain…

偏微分方程分析 · 数学 2018-05-15 Hideo Kozono , Yutaka Terasawa , Yuta Wakasugi

We address the question of existence of regular spherically symmetric electrically charged solutions in Nonlinear Electrodynamics coupled to General Relativity. Stress-energy tensor of the electromagnetic field has the algebraic structure…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Irina Dymnikova

Building on a series of earlier papers [gr-qc/9604007, gr-qc/9604008, gr-qc/9604009], I investigate the various point-wise and averaged energy conditions in the Unruh vacuum. I consider the quantum stress-energy tensor corresponding to a…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Matt Visser

This paper gives necessary and sufficient conditions for the convergence of the solution of a weakly damped second order linear differential equation that is subjected to outside forcing, for which solutions of the unforced equation are…

经典分析与常微分方程 · 数学 2026-03-27 John A. D. Appleby , Subham Pal

A recently suggested equation of state with the induced surface tension is generalized to the case of quantum gases with mean-field interaction. The self-consistency conditions of such a model and the necessary one to obey the Third Law of…

核理论 · 物理学 2018-11-19 K. A. Bugaev , A. I. Ivanytskyi , V. V. Sagun , E. G. Nikonov , G. M. Zinovjev

We review a model for a solid electrolyte derived under thermodynamics principles. We non-dimensionalise and scale the model to identify small parameters, where we identify a scaling that controls the width of the space-charge layer in the…

应用物理 · 物理学 2023-06-23 Laura M. Keane , Iain R. Moyles

We study the phenomenon of negative energy densities in quantum field theories with self-interaction. Specifically, we consider a class of integrable models (including the sinh-Gordon model) in which we investigate the expectation value of…

数学物理 · 物理学 2016-03-03 Henning Bostelmann , Daniela Cadamuro
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