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Junction conditions for composite matter in higher dimensions
Classical and Quantum Gravity ( IF 3.6 ) Pub Date : 2021-08-27 , DOI: 10.1088/1361-6382/ac1be5
Sunil D Maharaj , Byron P Brassel

We derive the junction conditions for a general higher dimensional spherically symmetric radiating star across a comoving surface with an electromagnetic field. The charged composite interior consists of barotropic matter, a null dust and a null string fluid. The higher dimensional generalised Vaidya geometry describes the exterior radiating atmosphere of the charged composite star. We show at the stellar surface that the pressure is determined by the interior heat flux, anisotropy, null string density, charge distribution and the exterior null string density. The charge distribution affects the stellar pressure in general; the higher dimensional charged Vaidya spacetime is special and does not exhibit this feature. The number of dimensions appears explicitly in the surface pressure showing that the dimensions affect the gravitational dynamics. All previous treatments, for matter which is neutral or charged, emerge as special cases in our treatment.



中文翻译:

高维复合材料的连接条件

我们推导出一般高维球对称辐射星穿过具有电磁场的共动表面的结条件。带电复合内部由正压物质、零尘和零弦流体组成。更高维的广义 Vaidya 几何描述了带电复合星的外部辐射大气。我们在恒星表面表明,压力由内部热通量、各向异性、零弦密度、电荷分布和外部零弦密度决定。电荷分布一般会影响恒星压力;更高维的带电 Vaidya 时空是特殊的,没有表现出这个特征。维数显式地出现在表面压力中,表明这些维数会影响重力动力学。

更新日期:2021-08-27
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