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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

Small Black String Thermodynamics

classification gr-qc hep-th
keywords blackstringfluctuationsmallthermodynamicssolutionstatisticalaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On partial groups of small order

    math.GR 2026-05 unverdicted novelty 6.0

    All partial groups of order ≤10 are enumerated, and two theorems are proved: high-dimension indecomposables are group skeleta, and degree-≤2 partial groups are 2-coskeletal.

  2. On partial groups of small order

    math.GR 2026-05 unverdicted novelty 5.0

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