Thermodynamical Aspects of Gravity: New insights

By T.Padmanabhan. 2009

659 citations recorded by the source corpus.

The fact that one can associate thermodynamic properties with horizons brings together principles of quantum theory, gravitation and thermodynamics and possibly offers a window to the nature of quantum geometry. This review discusses certain aspects of this topic concentrating on new insights gained from some recent work. After a brief introduction of the overall perspective, Sections 2 and 3 provide the pedagogical background on the geometrical features of bifurcation horizons, path integral derivation of horizon temperature, black hole evaporation, structure of Lanczos-Lovelock models, the concept of Noether charge and its relation to horizon entropy. Section 4 discusses several conceptual issues introduced by the existence of temperature and entropy of the horizons. In Section 5 we take up the connection between horizon thermodynamics and gravitational dynamics and describe several peculiar features which have no simple interpretation in the conventional approach. The next two sections describe the recent progress achieved in an alternative perspective of gravity. In Section 6 we provide a thermodynamic interpretation of the field equations of gravity in any diffeomorphism invariant theory and in Section 7 we obtain the field equations of gravity from an entropy maximization principle. The last section provides a summary. Thermodynamical Aspects of Gravity: New insights 2

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e34fce577a6efeddd7c4009f13ca24736a3e5243

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Citations in the corpus

f(T) teleparallel gravity and cosmology (2015, background): “We recall that the fundamental connection between gravitation and thermodynamics was found in black hole physics [288–291] (and see [292] for a comprehensive review).”
Lanczos–Lovelock models of gravity (2013, methodology): “An elementary calculation and use of generalized Bianchi identity and the condition ∇aT a b = 0 leads us to [3, 4, 138, 139] the following construct on background geometry:”
Quantum-Spacetime Phenomenology (2008, background): “Further encouragement for the idea of an emerging spacetime (though not necessarily invoking the condensed-matter perspective) comes from the realization [304, 533, 444] that the Einstein equations can be viewed as an equation of state, so in some sense thermodynamics implies GR and the associated m”
Gravitational dynamics from entanglement “thermodynamics” (2013, background): “Since the first connections between gravity and thermodynamics were realized in the study of black hole physics [1–3], various attempts have been made to derive Einstein’s equations from the thermodynamics of some underlying degrees of freedom, starting with Jacobson’s intriguing paper [4] (see also”
From Navier-Stokes to Einstein (2011, background): “Hints of such a connection, summarized in the next section, have surfaced in various forms over the last three decades [3–28], see [26, 29–32] for reviews.”
Wilsonian approach to fluid/gravity duality (2010, background): “A general type of equivalence between the Einstein equation and the first law has been demonstrated by Jacobson [43], see also [50].”