Projects per year
Abstract
The thermodynamics of black holes is discussed for the case, when the Newton constant G is not a constant, but it is the thermodynamic variable. This gives for the first law of the Schwarzschild black hole thermodynamics: dS_{BH} = −AdK + _{T}^{dM}_{BH}, where the gravitational coupling K = 1/4G, M is the black hole mass, A is the area of horizon, and T_{BH} is Hawking temperature. From this first law, it follows that the dimensionless quantity M^{2}/K is the adiabatic invariant, which, in principle, can be quantized if to follow the Bekenstein conjecture. From the Euclidean action for the black hole it follows that K and A serve as dynamically conjugate variables. Using the PainleveGullstrand metric, which in condensed matter is known as acoustic metric, we calculate the quantum tunneling from the black hole to the white hole. The obtained tunneling exponent suggests that the temperature and entropy of the white hole are negative.
Original language  English 

Article number  133 
Pages (fromto)  18 
Number of pages  8 
Journal  Universe 
Volume  6 
Issue number  9 
DOIs  
Publication status  Published  1 Jan 2020 
MoE publication type  A1 Journal articlerefereed 
Keywords
 Black hole
 Negative entropy
 Quantum tunneling
 White hole
Fingerprint Dive into the research topics of 'Varying Newton constant and black hole to white hole quantum tunneling'. Together they form a unique fingerprint.
Projects
 1 Active

TOPVAC: From Topological Matter to Relativistic Quantum Vacuum
Volovik, G., Nissinen, J., Eltsov, V., Zhang, K., Rysti, J., Volard, M., Laurila, S. & Rantanen, R.
01/10/2016 → 31/01/2023
Project: EU: ERC grants