Journal Article

Thermodynamics for the k-essence emergent Reissner–Nordstrom–de Sitter spacetime

Manna, Goutam, Das, Ashoke, Majumder, Bivash

2020

Overview

The k -essence emergent Reissner–Nordstrom–de Sitter spacetime has exactly mapped on to the Robinson–Trautman (RT)-type spacetime with cosmological constant Λ for certain configuration of k -essence scalar field. Theoretically, we evaluated that the thermodynamical quantities for the RT-type emergent black hole is different from the usual one in the presence of kinetic energy of the k -essence scalar field i.e., the dark energy density. We restrict ourselves into the fact that the dark energy density ( K ) is to be unity, then the effective temperature and pressure both are negative for the RT-type emergent black hole which implies that the system is thermodynamically unstable when the charge Q ≠ 0 , and the emergent spacetime is only dark energy dominated, and it does not radiate when Q = 0 . The thermodynamically unstable situation is physically plausible only when we consider spin degrees of freedom of a system. We have made this analysis in the context of dark energy in an emergent gravity scenario having k -essence scalar fields ϕ with a Dirac–Born–Infeld-type Lagrangian. The scalar field also satisfies the emergent equation of motion at r → ∞ .

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V
• Subject: Applied and Technical Physics / Atomic / Black holes / Complex Systems / Condensed Matter Physics / Coordinate transformations / Cosmological constant / Dark energy / Equations of motion / Gravity / Kinetic energy / Mathematical and Computational Physics / Molecular / Optical and Plasma Physics / Physics / Physics and Astronomy / Regular Article / Relativity / Scalars / Spacetime / Theoretical