Stars and junction conditions in Einstein-Gauss-Bonnet gravity

被引:9
|
作者
Brassel, Byron P. [1 ,2 ]
Maharaj, Sunil D. [1 ]
Goswami, Rituparno [1 ]
机构
[1] Univ KwaZulu Natal, Astrophys Res Ctr, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South Africa
[2] Durban Univ Technol, Fac Appl Sci, Dept Math, ZA-4000 Durban, South Africa
关键词
junction conditions; differential geometry; Einstein-Gauss-Bonnet gravity; stars; GRAVITATIONAL COLLAPSE; STRANGE STAR; MODEL; HYPERSURFACES; EQUILIBRIUM; MANIFOLDS; PROPERTY; SPACE;
D O I
10.1088/1361-6382/acd29c
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The junction conditions for a higher dimensional spherically symmetric charged and anisotropic static star are derived in Einstein-Gauss-Bonnet (EGB) gravity with nonvanishing cosmological constant. It is shown that for a timelike boundary hypersurface of zero thickness, the generalised matching conditions across this surface in EGB gravity are satisfied. A sufficient condition is that the Israel-Darmois conditions are valid. Therefore it is possible to generate a complete stellar model in EGB gravity. The interior matches to the exterior higher dimensional charged Boulware-Deser spacetime with cosmological constant. The barotropic radial pressure has to vanish at the boundary of the star which is also the case in general relativity.
引用
收藏
页数:18
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