Small Black String Thermodynamics

Abstract

We consider a cylindrically symmetric solution for the field equations of Einstein-Hilbert action with a negative cosmological constant in four dimensions. The small statistical fluctuation in the equilibrium thermodynamics of the black string solution is investigated. The small black string under the influence of small statistical fluctuation also follows the first law of thermodynamics. The behaviour of equation of states for black string changes significantly due to the fluctuation. The fluctuation causes instability to the small-sized black string only. Assuming the black string is fluid, the compressibility of the black string is inversely proportional to the fluctuation parameter.

arXiv comment12 pages, 6 captioned figures, published in Physica Scripta

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Cited by in corpus (4)

• Thermodynamics of a newly constructed black hole coupled with nonlinear electrodynamics and cloud of strings
• Quantum gravitational corrections to the geometry of charged AdS black holes
• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
• Kiselev black strings: the charged rotating solutions