Abstract
It has been shown by explicit and exact calculation that the geometric product formula i.e., area (or entropy) product formula of outer horizon ( H + ) and inner horizon ( H − ) for charged accelerating black hole (BH) should neither be mass-independent nor quantized. This implies that the area (or entropy ) product is mass-independent conjecture has been broken down for charged accelerating BH. This also further implies that the mass-independent feature of the area product of H ± is not a generic feature at all. We also compute the Cosmic-Censorship-Inequality for this BH. Moreover, we compute the specific heat for this BH to determine the local thermodynamic stability. Under certain criterion, the BH shows the second order phase transition. Furthermore, we compute logarithmic corrections to the entropy for the said BH due to small statistical fluctuations around the thermal equilibrium.
Highlights
Perhaps, black hole (BH) are the most facinating objects in the universe
By explicit and exact calculation, we show that the area product formula of outer horizon (OH) and inner horizon (IH) for charged accelerating
We studied the thermodynamic properties of slowly accelerating BH which consists of five parameters, namely the mass, the charge, the acceleration, the cosmological constant and the cosmic string tension
Summary
BHs are the most facinating objects in the universe. They are the direct consequences of Einstein’s general relativity. In the above three cases, it is true that the horizon area (or entropy) product formula is mass-independent, it is universal in this sense This is the only motivation behind this work and this is an interesting topic in recent years in the scientific community in the general relativity (GR) community [3] and in the string theory community [4,5] (see references [6,7,8,9,10]). It should be noted that we have assumed that the BH is a thermodynamic system which is in equilibrium at Bekenstein-Hawking temperature Another strong motivation came from the work of Cvetič et al [4], where the authors suggested that if the cosmological parameter is quantized the area (or entropy) product relations for rotating.
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