Bulletin of the American Physical Society
APS April Meeting 2019
Volume 64, Number 3
Saturday–Tuesday, April 13–16, 2019; Denver, Colorado
Session H11: Thermodynamic and Mathematical Aspects of Gravity
10:45 AM–12:33 PM,
Sunday, April 14, 2019
Sheraton
Room: Governor's Square 17
Sponsoring
Unit:
DGRAV
Chair: David Garfinkle, Oakland University
Abstract: H11.00001 : Thermodynamic equivalence of Jordan and Einstein frame in scalar-tensor theory*
10:45 AM–10:57 AM
View Presentation Abstract
Presenter:
Krishnakanta Bhattacharya
(Indian Institute of Technology Guwahati)
Author:
Krishnakanta Bhattacharya
(Indian Institute of Technology Guwahati)
Among the various modified theories of gravity, the scalar-tensor theory is one of the most post popular one and one of the most studied as well. This theory is described in the two frames– the Jordan frame and the Einstein frame.
Although, the theory is successful in various avenues, there are two major controversies in the theory itself. These are– (1) Whether the conformal equivalence of the action in the two frames is merely a mathematical equivalence or whether these two frames are indeed equivalent. (2) What are the explicit covariant expressions of the physical quantities (energy, entropy, temperature) and how they are connected in the two frames. Although, the expression of the entropy and the temperature is widely accepted to some extent but, there is a controversy in the expression of the energy which can be used for the thermodynamic description in this theory.
We in Phys. Rev. D 95, no. 6, 064026 (2017) and Phys. Rev. D 97, no. 12, 124013 (2018) have explored these issues. We show that by properly defining the Lagrangians in the two frames, one can obtain the first law and the covariant expressions of the thermodynamic parameters (including energy) following the Iyer-Wald formalism. We also show that all the thermodynamic parameters are
conformally invariant.
*Funded by the DS award of FIP.
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