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The Role of Dipole Charges in Black Hole Thermodynamics

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arxiv hep-th/0505278 v3 pith:TLH4LSC3 submitted 2005-05-31 hep-th gr-qc

classification hep-thgr-qc
keywords chargesblackfirstappeardipolearisechern-simonscontradiction
verification ladder T0 review T1 audit T2 compute T3 formal

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Modern derivations of the first law of black holes appear to show that the only charges that arise are monopole charges that can be obtained by surface integrals at infinity. However, the recently discovered five dimensional black ring solutions empirically satisfy a first law in which dipole charges appear. We resolve this contradiction and derive a general form of the first law for black rings. Dipole charges do appear together with a corresponding potential. We also include theories with Chern-Simons terms and generalize the first law to other horizon topologies and more generic local charges.

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Cited by 2 Pith papers

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  1. Macroscopic origin of the topologically twisted index on $T^2 \times \Sigma_{\mathfrak{g}}$

    hep-th 2026-08 conditional novelty 7.0 of 10

    New supergravity black string saddles reproduce the large-N topologically twisted index of 4d N=1 SCFTs on T^2 × Σ_g via the on-shell action I = -π i c/(12τ).

  2. Charged, rotating black holes in Einstein-Maxwell-dilaton theory

    gr-qc 2025-06 unverdicted novelty 7.0 of 10

    Numerical construction of asymptotically flat charged rotating black holes in EMd theory for arbitrary dilaton coupling gamma, with analysis of parameter space, zero-temperature limits, and hints of non-uniqueness.

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