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arXiv 2403.09757gr-qchep-th
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彩虹引力中的加速AdS黑洞

Accelerating AdS black holes in gravity's rainbow

B. Eslam Panah, S. Zare, H. Hassanabadi

AI总结:

该研究在彩虹引力框架下构造加速AdS黑洞解,分析其几何、热力学及光子轨迹,揭示参数对物理性质的影响。

摘要:

受$C$-度规中运动粒子能量效应的启发,我们首先在彩虹引力中获得了精确的加速黑洞解。然后,我们研究了彩虹引力和$C$-度规参数对Ricci和Kretschmann标量的影响,以及该解的渐近行为。接下来,我们指出在彩虹引力中获得的加速黑洞的不同参数如何影响热力学量(如霍金温度和熵)以及局部稳定性(通过评估热容量)。随后,我们提取测地线方程,以确定各种参数对该黑洞附近光子轨迹的影响,并通过将彩虹引力添加到$C$-度规中,获得光子球半径和相应的临界碰撞参数,以深入了解AdS黑洞物理。

英文摘要:

Motivated by the effect of the energy of moving particles in $C-$metric, we first obtain exact accelerating black hole solutions in gravity's rainbow. Then, we study the effects of gravity's rainbow and $C-$metric parameters on the Ricci and Kretschmann scalars, and also the asymptotical behavior of this solution. Next, we indicate how different parameters of the obtained accelerating black holes in gravity's rainbow affect thermodynamics quantities (such as the Hawking temperature, and entropy) and the local stability (by evaluating the heat capacity). In the following, we extract the geodesic equations to determine the effects of various parameters on photon trajectory in the vicinity of this black hole, as well as obtain the radius of the photon sphere and the corresponding critical impact parameter to gain insight into AdS black hole physics by adding the gravity's rainbow to $C-$metric.

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