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arXiv 2010.04701hep-thgr-qc
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$f(\mathcal{R})$引力中解析荷电BHs

Analytic charged BHs in $f(\mathcal{R})$ gravity

G. G. L. Nashed, Shin'ichi Nojiri

摘要:

在这篇文章中,我们考虑$f(\mathcal{R})$引力理论,寻找精确的带电球对称黑洞。这些BH的特征在于卷积和误差函数。这两个函数依赖于一个积分常数,而积分常数的存在使得解偏离了爱因斯坦广义相对论。构成麦克斯韦场的电荷势的误差函数取决于积分常数,当这个常数为零时,我们不能在$f(\mathcal{R})$的低阶中再现Reissner-Nordström BH。这意味着我们不能在低阶曲率理论中再现Reissner-Nordström BH,即,在GR极限$f(\mathcal{R})=\mathcal{R}$中,我们不能得到已知的带电BH。我们研究这些黑洞的物理性质,并表明它是渐近接近作为一个平坦的时空或方法AdS/dS时空。此外,我们计算的BHS的不变量,并表明奇异性是温和的比BH的GR。此外,我们通过使用测地偏差推导出的稳定性条件。此外,我们研究我们的BH的热力学和调查的影响,高阶曲率理论。最后,我们证明了所有的黑洞是稳定的,并有径向速度等于一,通过使用奇型模式。

英文摘要:

In this article, we seek exact charged spherically symmetric black holes (BHs) with considering $f(\mathcal{R})$ gravitational theory. These BHs are characterized by convolution and error functions. Those two functions depend on a constant of integration which is responsible to make such a solution deviate from the Einstein general relativity (GR). The error function which constitutes the charge potential of the Maxwell field depends on the constant of integration and when this constant is vanishing we can not reproduce the Reissner-Nordström BH in the lower order of $f(\mathcal{R})$. This means that we can not reproduce Reissner-Nordström BH in lower-order-curvature theory, i.e., in GR limit $f(\mathcal{R})=\mathcal{R}$, we can not get the well known charged BH. We study the physical properties of these BHs and show that it is asymptotically approached as a flat spacetime or approach AdS/dS spacetime. Also, we calculate the invariants of the BHS and show that the singularities are milder than those of BH's of GR. Additionally, we derive the stability condition through the use of geodesic deviation. Moreover, we study the thermodynamics of our BH and investigate the impact of the higher-order-curvature theory. Finally, we show that all the BHs are stable and have radial speed equal to one through the use of odd-type mode.

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