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Van der Waals criticality in AdS black holes: a phenomenological study
AdS black holes exhibit van der Waals type phase transition. In the {\it extended} phase-space formalism, the critical exponents for any spacetime metric are identical to the standard ones. Motivated
Thermogeometric description of the van der Waals like phase transition in AdS black holes
It is well known that interpreting the cosmological constant as the pressure, the AdS black holes behave as the van der Waals thermodynamic system. In this case, like a phase transition from vapor to
Fresh look at the scalar-tensor theory of gravity in Jordan and Einstein frames from undiscussed standpoints
We study the scalar-tensor theory of gravity profoundly in the action level as well as in the thermodynamic level. Contrary to the usual description in the literature about the equivalence in the two
General framework to study the extremal phase transition of black holes
We investigate the universality of some features for the extremal phase transition of black holes and unify all the approaches which have been applied in different spacetimes. Unlike the other
Temperature and thermodynamic structure of Einstein's equations for a cosmological black hole
It is expected that the cosmological black holes are the closest realistic solutions of gravitational theories and they evolve with time. Moreover, the natural way of defining thermodynamic entities
Fluctuation-dissipation relation in accelerated frames
An uniformly accelerated (Rindler) observer will detect particles in the Minkowski vacuum, known as Unruh effect. The spectrum is thermal and the temperature is given by that of the Killing horizon,
Noether and Abbott-Deser-Tekin conserved quantities in scalar-tensor theory of gravity both in Jordan and Einstein frames
We revisit the thermodynamic aspects of the scalar-tensor theory of gravity in the Jordan and in the Einstein frame. Examining the {\it missing links} of this theory carefully, we establish the
Abbott–Deser–Tekin like conserved quantities in Lanczos–Lovelock gravity: beyond Killing diffeomorphisms
We obtain the conserved Abbott-Deser-Tekin (ADT)-{\it like} current for the Lanczos-Lovelock gravity for a diffeomorphism vector, which defines the horizon of a spacetime and, importantly, is not
Noether and ADT conserved quantities in scalar-tensor theory of gravity both in Jordon and Einstein frames
We revisit the thermodynamic aspects of the scalar-tensor theory of gravity in Jordan and Einstein frame. Examining the {\it missing links} of this theory carefully, we establish the thermodynamic
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