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Critical Behavior of Dimensionally Continued Black Holes

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arxiv gr-qc/9502029 v2 pith:FI25VZME submitted 1995-02-12 gr-qc

classification gr-qc
keywords blackholescriticalasymptoticallybehaviorcontinueddimensionallydimensions
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The critical behavior of black holes in even and odd dimensional spacetimes is studied based on Ba\~nados-Teitelboim-Zanelli (BTZ) dimensionally continued black holes. In even dimensions it is found that asymptotically flat and anti de-Sitter Reissner-Nordstr\"om black holes present up to two second order phase transitions. The case of asymptotically anti-de-Sitter Schwarzschild black holes present only one critical transition and a minimum of temperature, which occurs at the transition. Finally, it is shown that phase transitions are absent in odd dimensions.

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Cited by 2 Pith papers

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

  1. Extended thermodynamical topology of black hole

    hep-th 2025-08 unverdicted novelty 5.0 of 10

    The paper introduces a unified extended thermodynamical topology framework for black holes and claims a correspondence between zeros of higher-order vector fields and critical exponents.

  2. An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field

    gr-qc 2025-09 reject novelty 4.0 of 10

    A reverse-engineered modified-Schwarzschild solution in scalar-coupled higher-curvature gravity is presented, whose headline 'weaker singularity' claim is contradicted by its own Kretschmann-scalar results (r^-9 versu...

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