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The Thermodynamics of the Perturbed Schwarzschild Black Hole
International Journal of Theoretical Physics ( IF 1.4 ) Pub Date : 2020-06-02 , DOI: 10.1007/s10773-020-04497-y
Amir Sultan Khan , Farhad Ali , Israr Ali Khan

The phenomena like gravitational waves, Hawking radiation, and growth of black holes not only change the curvature of spacetime continuously but also affect the thermodynamical properties of the sources over time. The present study explores the effect of time in the thermodynamical properties of the corresponding spacetime. We define a general time conformal factor e 𝜖 ζ ( t ) in the Schwarzschild black hole spacetime, where 𝜖 is a small parameter that brings perturbation in the said spacetime. This technique re-defines the energy content of spacetime. Moreover, the effect of time is explored in the thermodynamical properties of the perturbed Schwarzschild black hole. We calculate the event horizon of the spacetime as a function of t . Then we study the effect of time in the surface gravity, pressure, volume, and Hawking temperature of the perturbed Schwarzschild black hole and analyze them graphically.

中文翻译:

受扰的史瓦西黑洞的热力学

引力波、霍金辐射和黑洞的生长等现象不仅会不断改变时空曲率,还会随着时间的推移影响源的热力学性质。本研究探讨了时间对相应时空热力学性质的影响。我们在 Schwarzschild 黑洞时空中定义了一个一般的时间共形因子 e 𝜖 ζ ( t ),其中 𝜖 是一个小参数,它会在所述时空中带来扰动。这种技术重新定义了时空的能量含量。此外,在受扰的史瓦西黑洞的热力学性质中探索了时间的影响。我们计算时空的事件视界作为 t 的函数。然后我们研究时间对表面重力、压力、体积的影响,
更新日期:2020-06-02
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