Thermodynamic structure of a generic null surface and the zeroth law in scalar-tensor theory
| Autor: | Dey, Sumit, Bhattacharya, Krishnakanta, Majhi, Bibhas Ranjan |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys.Rev.D 104 (2021) 12, 124038 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.104.124038 |
| Popis: | We show that the equation of motion of scalar-tensor theory acquires thermodynamic identity when projected on a generic null surface. The relevant projection is given by $E_{ab}l^ak^b$, where $E_{ab} =8\pi T_{ab}^{(m)}$ represents the equation motion for gravitational field in presence of external matter, $l^a$ is the generator of the null surface and $k^a$ is the corresponding auxiliary null vector. Our analysis is done completely in a covariant way. Therefore all the thermodynamic quantities are in covariant form and hence can be used for any specific form of metric adapted to a null surface. We show this both in Einstein and Jordan frames and find that these two frames provide equivalent thermodynamic quantities. This is consistent with the previous findings for a Killing horizon. Also, a concrete proof of the zeroth law in scalar-tensor theory is provided when the null surface is defined by a Killing vector. Comment: Typos corrected, published in Phys. Rev. D |
| Databáze: | arXiv |
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