Thermodynamic studies of Different Type of Black Holes: General Uncertainty Principle Approach

Abstract

We present an investigation on thermodynamics of two different types of black holes viz. Kiselev black hole (asymptotically flat) and Taub-NUT (non-asymptotically flat) black hole. We compute the thermodynamic variables like black hole's Hawking temperature, entropy at the black hole's event horizon. Further we derive the heat capacity and examine it to study the thermal stability of the black holes. We also calculate the rate of emission assuming the black holes radiate energy in terms of photons by tunneling. We represent all the parameters including the rate of emission of the black holes graphically and interpret them physically. We depict a comparative study of thermodynamics between the afroesaid types of black holes. Here we find the existence of a transition of phase. Finally, we obtain the quantum-corrected thermodynamics on the basis of general uncertainty principle and it is seen from the quantum-corrected entropy that it contains the logarithmic term. We offer comparative studies on joint effect of generalised uncertainty principle parameter $\alpha$ along with the concerned black holes' parameters on the thermodynamics.

arXiv comment15 pages, 25 figures

References in corpus (35)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Hawking Radiation as Tunneling
• Towards a derivation of holographic entanglement entropy
• Quintessence and black holes
• Logarithmic correction to the Bekenstein-Hawking entropy
• Hawking Radiation as Tunneling for Extremal and Rotating Black Holes
• Fermions Tunnelling from Black Holes
• Black Holes Radiate Mainly on the Brane
• Tunnelling, Temperature and Taub-NUT Black Holes
• Hawking radiation as tunneling from the Kerr and Kerr-Newman black holes
• When conceptual worlds collide: The GUP and the BH entropy
• Hawking radiation in different coordinate settings: Complex paths approach
• Quantum Tunneling and Back Reaction
• P-V criticality in the extended phase space of black holes in massive gravity
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Thermal radiation of various gravitational backgrounds
• Comments on anomaly versus WKB/tunneling methods for calculating Unruh radiation
• Hawking Radiation from General Kerr-(anti)de Sitter Black Holes
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Dynamics of Particles Around a Schwarzschild-like Black Hole in the Presence of Quintessence and Magnetic Field
• Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited
• Black Hole Entropy with minimal length in Tunneling formalism
• Insights and possible resolution to the information loss paradox via the tunneling picture
• Impacts of Generalized Uncertainty Principle on Black Hole Thermodynamics and Salecker-Wigner Inequalities
• The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
• Quantum tunneling radiation from self-dual black holes
• The Entropy Relations of Black Holes with Multihorizons in Higher Dimensions
• Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
• Thermodynamics of Taub-NUT Black Holes in Einstein-Maxwell Gravity
• Quantum-corrected two-dimensional Horava-Lifshitz black hole entropy
• Black holes in the Einstein -Gauss-Bonnet theory and the geometry of their thermodynamics-II
• Self-similarity, conservation of entropy/bits and the black hole information puzzle
• Twisted Black Hole Is Taub-NUT

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