New solution generating algorithm for isotropic static Einstein-Gauss-Bonnet metrics

被引：8

作者：

Maharaj, Sunil D. ^{[1
]}

Hansraj, Sudan ^{[1
]}

Sahoo, Parbati ^{[1
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Astrophys & Cosmol Res Unit, Private Bag X54001, ZA-4000 Durban, South Africa

来源：

EUROPEAN PHYSICAL JOURNAL C | 2021年 / 81卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

STELLAR MODEL; GRAVITY; SPACE;

D O I：

10.1140/epjc/s10052-021-09907-x

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The static isotropic gravitational field equation, governing the geometry and dynamics of stellar structure, is considered in Einstein-Gauss-Bonnet (EGB) gravity. This is a nonlinear Abelian differential equation which generalizes the simpler general relativistic pressure isotropy condition. A gravitational potential decomposition is postulated in order to generate new exact solutions from known solutions. The conditions for a successful integration are examined. Remarkably we generate a new exact solution to the Abelian equation from the well known Schwarzschild interior seed metric. The metric potentials are given in terms of elementary functions. A physical analysis of the model is performed in five and six spacetime dimensions. It is shown that the six-dimensional case is physically more reasonable and is consistent with the conditions restricting the physics of realistic stars.

引用

页数：9

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