Abstract
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 e𝜖ζ(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.
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