Asymptotic solutions for radiating stars

IF 3 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

General Relativity and Gravitation Pub Date : 2026-04-12 DOI:10.1007/s10714-026-03542-1

R. S. Bogadi, G. Leon, M. Govender, K. S. Govinder, S. Maharaj, A. Paliathanasis

引用次数: 0

Abstract

We investigate the evolution of the surface boundary of radiating stars by studying the asymptotic behaviour of exact solutions initiated via the stationary boundary condition. This boundary condition leads to a master equation in the form of a second-order nonlinear differential equation that describes the evolution of the scale factor. We examine this master equation by introducing a set of dimensionless dynamical variables, motivated by similar approaches in cosmological settings. We derive the stationary points of the system in the presence of charge and a cosmological constant. Furthermore, we construct criteria for the initial conditions so that the asymptotic limit approaches a static geometry.

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辐射恒星的渐近解

我们通过研究由平稳边界条件起始的精确解的渐近行为来研究辐射恒星表面边界的演化。这个边界条件导致了一个描述尺度因子演化的二阶非线性微分方程形式的主方程。我们通过引入一组无量纲动态变量来检验这个主方程，其动机是在宇宙学设置中采用类似的方法。我们推导了系统在有电荷和一个宇宙学常数存在时的不动点。进一步，我们构造了初始条件的判据，使渐近极限接近静态几何。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

General Relativity and Gravitation 物理-天文与天体物理

CiteScore

4.60

自引率

3.60%

发文量

136

审稿时长

3 months

期刊介绍： General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation. It welcomes in particular original articles on the following topics of current research: Analytical general relativity, including its interface with geometrical analysis Numerical relativity Theoretical and observational cosmology Relativistic astrophysics Gravitational waves: data analysis, astrophysical sources and detector science Extensions of general relativity Supergravity Gravitational aspects of string theory and its extensions Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations Quantum field theory in curved spacetime Non-commutative geometry and gravitation Experimental gravity, in particular tests of general relativity The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.