Equipartition energy, Noether energy and boundary term in gravitational action

Abstract

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

five pages; no figures

References in corpus (3)

• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• Horizon energy as the boost boundary term in general relativity and loop gravity
• General relativity as the equation of state of spin foam

Cited by in corpus (15)

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• General Relativity from a Thermodynamic Perspective
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• Evolution of Spacetime arises due to the departure from Holographic Equipartition in all Lanczos-Lovelock Theories of Gravity
• Noether current of the surface term of Einstein-Hilbert action, Virasoro algebra and entropy
• Gravity and Quantum Theory: Domains of Conflict and Contact
• Thermality and Heat Content of horizons from infinitesimal coordinate transformations
• Near horizon symmetries, emergence of Goldstone modes and thermality
• Entropy function from the gravitational surface action for an extremal near horizon black hole
• On the Holographic Nature Of Rindler Energy
• Nöther Currents, Black Hole Entropy Universality and CFT Duality in Conformal Weyl Gravity
• BMS Goldstone modes near the horizon of a Kerr black hole are thermal
• Tolman temperature once again: A derivation from gravitational surface action
• Thermal Time and Kepler's Second Law