1Department of Physics, Higher Teachers' Training College, University of Maroua, Maroua 55, Cameroon 2Ecole Nationale Supérieure Polytechnique, University of Yaounde I, Yaounde 8390, Cameroon 3The African Center of Excellence in Information and Communication Technologies, University of Yaounde I, Yaounde 8390, Cameroon 4The Abdus Salam International Centre for Theoretical Physics, Trieste II-34014, Italy 5Department of Physics, Faculty of Science, University of Yaounde I, Yaounde 812, Cameroon
Abstract：Energy and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and Møller prescriptions are used to derive the expressions of the energy in the background. The temperature and heat capacity are also derived. The results show that due to the quantum fluctuations in the background of the Schwarzschild black hole, all the energies increase and the 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 increases while the Hawking temperature remains unchanged.
Weinberg S 1972 Gravitation and Cosmology: Principles and Applications of General Theory of Relativity (New York: John Wiley and Sons Inc.) chap 7 p 165
2017, Vol. 34 
