Uniform density static fluid sphere in Einstein-Gauss-Bonnet gravity and its universality

被引：56

作者：

Dadhich, Naresh ^{[1
]}

Molina, Alfred ^{[2
]}

Khugaev, Avas ^{[3
]}

机构：

[1] Inter Univ Ctr Astron & Astrophys, Pune 411007, Maharashtra, India

[2] Univ Barcelona, Dept Fis Fonamental, Barcelona, Spain

[3] Inst Nucl Phys, Tashkent 100214, Uzbekistan

来源：

PHYSICAL REVIEW D | 2010年 / 81卷 / 10期

关键词：

BLACK-HOLES;

D O I：

10.1103/PhysRevD.81.104026

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In Newtonian theory, gravity inside a constant density static sphere is independent of spacetime dimension. Interestingly this general result is also carried over to Einsteinian as well as higher order Einstein-Gauss-Bonnet (Lovelock) gravity notwithstanding their nonlinearity. We prove that the necessary and sufficient condition for universality of the Schwarzschild interior solution describing a uniform density sphere for all n greater than or similar to 4 is that its density is constant.

引用

页数：5

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