具有标量场的广义相对论中的刘维尔解

IF 4.5 2区物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS

Physics Letters B Pub Date : 2025-04-02 DOI:10.1016/j.physletb.2025.139439

D.E. Afanasev , M.O. Katanaev

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引用次数: 0

摘要

在具有标量场的广义相对论中，发现了新的单参数精确解族。测地线Hamilton-Jacobi方程的度规是允许变量完全分离的Liouville型度规。这个解对于标量场的指数势是存在的，并且对于全局洛伦兹变换是不变的。它特别描述了黑洞的形成和具有裸奇点的时空的演化。裸奇点对应的解只在光锥内提供了均匀和各向同性宇宙的加速膨胀，并且可以沿着测地线平滑地通过尺度因子的零点继续到无限过去。

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Liouville solution in General Relativity with a scalar field

New one parameter family of exact solutions in General Relativity with a scalar field has been found. The metric is of Liouville type which admits complete separation of variables in the geodesic Hamilton–Jacobi equation. This solution exists for the exponential potential for a scalar field and is invariant with respect to global Lorentz transformations. It describes, in particular, a black hole formation and evolution of space-time with a naked singularity. Solutions corresponding to the naked singularity provide accelerating expansion of the homogeneous and isotropic Universe only inside the light cone, and can be smoothly continued through the zero of the scale factor along geodesics to infinite past.

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来源期刊

Physics Letters B 物理-物理：综合

CiteScore

9.10

自引率

6.80%

发文量

647

审稿时长

3 months

期刊介绍： Physics Letters B ensures the rapid publication of important new results in particle physics, nuclear physics and cosmology. Specialized editors are responsible for contributions in experimental nuclear physics, theoretical nuclear physics, experimental high-energy physics, theoretical high-energy physics, and astrophysics.