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arXiv 1903.03421gr-qc
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指数$f(R,T)$重力中的虫洞

Wormholes in exponential $f(R,T)$ gravity

P. H. R. S. Moraes, P. K. Sahoo

摘要:

替代引力是当今解决一些持续存在的观测问题的一个非常重要的工具,例如宇宙的暗区。它们也可以应用于恒星天体物理学,导致比通过广义相对论获得的结果领先一步。在这篇文章中,我们测试了一个新的$f(R,T)$引力模型的物理和几何的虫洞。$f(R,T)$引力理论是一种著名的替代引力理论,它将爱因斯坦-希尔伯特引力拉格朗日量中的Ricci标量$R$用$R$和$T$的一般函数代替,即$f(R,T)$,其中$T$表示能量-动量张量的迹。我们提出,在文献中首次,指数形式的依赖关系的理论$T$。我们推导了场方程和非连续性方程,并将其求解为虫洞度规和能量动量张量。将替代引力应用于虫洞的重要性在于,通过这些理论,有可能获得满足能量条件的虫洞解,从而偏离广义相对论的众所周知的结果。在这篇文章中,我们确实表明,它是可能的,以获得虫洞的解决方案,满足能量条件的指数$f(R,T)$重力。当然,作为宇宙学、银河和恒星天体物理学的应用,这个模型还有很多工作要做,强烈鼓励读者这样做,但是,无论如何,人们可以将目前的结果视为该理论的良好指示。

英文摘要:

Alternative gravity is nowadays an extremely important tool to address some persistent observational issues, such as the dark sector of the universe. They can also be applied to stellar astrophysics, leading to outcomes one step ahead of those obtained through General Relativity. In the present article we test a novel $f(R,T)$ gravity model within the physics and geometry of wormholes. The $f(R,T)$ gravity is a reputed alternative gravity theory in which the Ricci scalar $R$ in the Einstein-Hilbert gravitational lagrangian is replaced by a general function of $R$ and $T$, namely $f(R,T)$, with $T$ representing the trace of the energy-momentum tensor. We propose, for the first time in the literature, an exponential form for the dependence of the theory on $T$. We derive the field equations as well as the non-continuity equation and solve those to wormhole metric and energy-momentum tensor. The importance of applying alternative gravity to wormholes is that through these theories it might be possible to obtain wormhole solutions satisfying the energy conditions, departing from General Relativity well-known outcomes. In this article, we indeed show that it is possible to obtain wormhole solutions satisfying the energy conditions in the exponential $f(R,T)$ gravity. Naturally, there is still a lot to do with this model, as cosmological, galactical and stellar astrophysics applications, and the reader is strongly encouraged to do so, but, anyhow, one can see the present outcomes as a good indicative for the theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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