BH5 - Black hole thermodynamics |
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Speaker |
PRADHAN, PARTHA PRATIM |
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Coauthors |
Parthapratim Pradhan |
| Talk Title |
Thermodynamic Product Formula in Modified Gravity and Kerr-MG/CFT Correspondenc |
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Abstract |
We study the thermodynamic properties of inner and outer horizons of scalar-tensor-vector gravity (STVG) or modified gravity (MG) and its consequences on the holographic duality. We derive the thermodynamic product formula for this gravity. We consider both spherically symmetric solution and axisymmetric solution of MG. We find that the area product formula for both cases is \emph{not} mass-independent because they depends on ADM mass parameter while in Einstein gravity this formula is mass-independent. We also examine the \emph{first law} is fulfilled at the inner horizon (IH) as well as outer horizon (OH). We also derive other thermodynamic products and sums. We further derive the Smarr like mass formula for this kind of black hole (BH) in MG. Moreover, we derive the area bound for both the horizons. Furthermore, we show that the central charges of the left and right moving sectors are same via universal thermodynamic relations. Finally, we derive the mass-independent area product combinations for regular MG BH. |
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