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Small Black String Thermodynamics

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arxiv 2308.11695 v1 pith:ZEIYKTYX submitted 2023-08-22 gr-qc hep-th

Jyotish Kumar , Sudhaker Upadhyay , Himanshu Kumar Sudhanshu This is my paper · ORCID
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keywords blackstringfluctuationsmallthermodynamicssolutionstatisticalaction
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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.

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  1. On partial groups of small order

    math.GR 2026-05 unverdicted novelty 6.0 of 10

    Computer enumeration produces 123650 partial groups of order ≤9 and 178937003 of order 10, with complete lists of indecomposables of order ≤5.

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