Energy distribution and thermodynamics of the quantum-corrected Schwarzschild black hole

Abstract

In this work, energy distribution and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and Møller prescriptions were used to derive the expressions of the energy in the background. The temperature and heat capacity were also derived. The results show that due to the quantum fluctuations in the background of the Schwarzschild black hole, all the energies increase and Einstein energy differs from Møller's one. Moreover, when increasing the quantum correction factor ($a$), the difference between Einstein and Møller energies, the Unruh-Verlinde temperature as well as the heat capacity of the black hole increase while the Hawking temperature remains unchanged.

arXiv comment4 pages, 3 figures

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Cited by in corpus (4)

• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Quantum-corrected Schwarzschild AdS black hole surrounded by quintessence: Thermodynamics and Shadows
• Localization of Energy-Momentum for a Black Hole Spacetime Geometry with Constant Topological Euler Density
• Energy-momentum for a charged nonsingular black hole solution with a nonlinear mass function