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Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy

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arxiv 1204.1422 v2 pith:WBWVBOW2 submitted 2012-04-06 gr-qc hep-th

classification gr-qchep-th
keywords horizonentropyalgebraapproachcentralvirasoroactioncharge
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We describe a simple way of obtaining horizon entropy using the approach based on the Virasoro algebra and central charge. We show that the Virasoro algebra defined by the Noether currents corresponding to the surface term of gravitational action, for the diffeomorphisms which leave the horizon structure unaltered, has a central extension that directly leads to the horizon entropy. In this approach there are no ambiguities in the calculation of the central charge. We explain why this approach is physically well motivated and could provide greater insight into the nature of horizon entropy.

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Cited by 3 Pith papers

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

  1. Spacetime structure near generic horizons and soft hair

    hep-th 2019-08 conditional novelty 6.0 of 10

    A family of horizon boundary conditions labeled by s yields BMS-like algebras with spin-s supertranslations, while another choice gives a non-linear Heisenberg-like algebra whose generators build the BMS-like ones.

  2. Gravity and Quantum Theory: Domains of Conflict and Contact

    gr-qc 2019-09 conditional novelty 4.0 of 10

    A review that uses horizon thermality and invariance under vacuum-energy shifts to argue that gravity is thermodynamic, with a predicted cosmological constant.

  3. Emergent Gravity in a Holographic Universe

    hep-th 2019-08 conditional novelty 3.0 of 10

    Causal diamonds in symmetric spacetimes obey a thermodynamic first law with negative temperature, and the Einstein equations can be recast as an entropy equilibrium condition, with a long-string CFT picture for non-Ad...

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