论文标题

$ f(r,t)$重力理论中的vaidya般的外部解决方案和奇异性的形成

Vaidya-like exterior solution and formation of singularity in $f(R, T)$ theory of gravity

论文作者

Ghosh, Uttaran, Guha, Sarbari

论文摘要

在本文中,我们研究了以热通量形式进行耗散的流体球的重力崩溃,在$ f(r,t)$重力的框架内。为了应用连接条件以匹配内部和外部空间并分析崩溃的动力学,有必要了解辐射火球的外部度量,该指标尚未在$ f(r,t)$重力的背景下可用。因此,首先,我们确定了$ f(r,t)$ gravity中的外部Vaidya样辐射度量。随后,我们解决了$ f(r,t)$ field方程,并使用$ f(r,t)$连接条件将外部与内部空间匹配。已经确定了奇异性的形成时间和明显范围的形成时间。得出的结论是,最终的奇异性隐藏在地平线后面。

In this paper, we study the gravitational collapse of a fluid ball undergoing dissipation in the form of heat flux, in the framework of $f(R,T)$ gravity. To apply the junction conditions in order to match the interior and the exterior spacetimes and analyze the dynamics of collapse, it is necessary to know the exterior metric for the radiating fireball, which is not yet available in the context of $f(R,T)$ gravity. Therefore, at the outset, we have determined the exterior Vaidya-like radiating metric in $f(R,T)$ gravity. Subsequently, we solved the $f(R,T)$ field equations and used the $f(R,T)$ junction conditions to match the exterior with the interior spacetime. The time of formation of the singularity and the time of formation of the apparent horizon have been determined. It is concluded that the final singularity is hidden behind the horizon.

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