School and Conference on Modern Mathematical Physics

9 - 14 September 2019, Belgrade, Serbia


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    E-mail: mphys10@ipb.ac.rs


Abhijit Mandal

Thermodynamic study of Reissner-Nordstrom quintessence black hole

Direct local impacts of cosmic acceleration upon a black hole are matters of interest. Babichev et al. had published before that the Friedmann equations which are prevailing the part of fluid filled up in the universe to lead (or to be very specific, 'dominate') the other constituents of universe and are forcing the universe to undergo present day accelerating phase (or to lead to violate the strong energy condition and latter the week energy condition), will themselves tell that the rate of change of mass of the central black hole due to such exotic fluid's accretion will essentially shrink the mass of the black hole. But this is a global impact indeed. The local changes in the spacetime geometry next to the black hole can be analyzed from a modified metric governing the surrounding spacetime of a black hole. A charged de Sitter black hole solution encircled by quintessence field is chosen for this purpose. Different thermodynamic quantities are analyzed for different values of quintessence equation of state parameter, \omega_q. Specific jumps in the nature of the thermodynamic space near to the quintessence or phantom barrier are noted and physically interpreted as far as possible. Nature of phase transitions and the situations at which these transitions are taking place are also explored. It is determined that before quintessence starts to work (\omega_q = -0.33 > -1/3 ) it was preferable to have a small unstable black hole followed by a large stable one. But in quintessence (-1/3 > \omega_q > -1), black holes are destined to be unstable large ones pre-quelled by stable/unstable small/intermediate mass black holes.


Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics (University of Belgrade)
Belgrade, Serbia
Mathematical Institute (Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science (University of Kragujevac)
Kragujevac, Serbia
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia


Institute of Nuclear Sciences "VinĨa" (University of Belgrade)
Belgrade, Serbia
Institute of Physics (University of Kragujevac)
Kragujevac, Serbia
Faculty of Physics (University of Belgrade)
Belgrade, Serbia
Faculty of Sciences (University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering (University of Belgrade)
Belgrade, Serbia
SEENET-MTP (Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia