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Equipartition energy, Noether energy and boundary term in gravitational action

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Abstract

In the study of horizon thermodynamics and emergent gravity two natural expressions for energy, E = 2T S (equipartition energy) and E = T S (Noether energy) arise which differ by a factor 2. I clarify the role of these two expressions in different contexts and show how E = T S is also closely related to the Noether charge arising from the boundary term of the Einstein–Hilbert action.

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  1. IUCAA, Pune University Campus, Ganeshkhind, Pune, 411 007, India

    T. Padmanabhan

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  1. T. Padmanabhan
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Correspondence to T. Padmanabhan.

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Padmanabhan, T. Equipartition energy, Noether energy and boundary term in gravitational action. Gen Relativ Gravit 44, 2681–2686 (2012). https://doi.org/10.1007/s10714-012-1418-4

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  • DOI: https://doi.org/10.1007/s10714-012-1418-4

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