Unified first law and some general prescription: a redefinition of surface gravity
Abstract The paper contains an extensive study of the unified first law (UFL) in the Friedmann–Robertson–Walker spacetime model. By projecting the UFL along the Kodama vector the second Friedmann equation can be obtained. Also studying the UFL on the event horizon it is found that the Clausius relat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-09-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-5179-9 |
| _version_ | 1818839950800453632 |
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| author | Sourav Haldar Sudipto Bhattacharjee Subenoy Chakraborty |
| author_facet | Sourav Haldar Sudipto Bhattacharjee Subenoy Chakraborty |
| author_sort | Sourav Haldar |
| collection | DOAJ |
| description | Abstract The paper contains an extensive study of the unified first law (UFL) in the Friedmann–Robertson–Walker spacetime model. By projecting the UFL along the Kodama vector the second Friedmann equation can be obtained. Also studying the UFL on the event horizon it is found that the Clausius relation cannot be obtained from the UFL by projecting it along the tangent to the event horizon as it can be for the trapping horizon. However, it is shown in the present work that Clausius relation can be obtained by projecting the UFL along the Kodama vector on the horizon and the result is found to be true for any horizon. Finally motivated by the Unruh temperature for the Rindler observer, surface gravity is redefined and a Clausius relation is obtained from the UFL by projecting it along a vector analogous to the Kodama vector. |
| first_indexed | 2024-12-19T04:02:26Z |
| format | Article |
| id | doaj.art-9aae9497386746998bb622c8e3ddb228 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-19T04:02:26Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-9aae9497386746998bb622c8e3ddb2282022-12-21T20:36:39ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-09-017791610.1140/epjc/s10052-017-5179-9Unified first law and some general prescription: a redefinition of surface gravitySourav Haldar0Sudipto Bhattacharjee1Subenoy Chakraborty2Department of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityAbstract The paper contains an extensive study of the unified first law (UFL) in the Friedmann–Robertson–Walker spacetime model. By projecting the UFL along the Kodama vector the second Friedmann equation can be obtained. Also studying the UFL on the event horizon it is found that the Clausius relation cannot be obtained from the UFL by projecting it along the tangent to the event horizon as it can be for the trapping horizon. However, it is shown in the present work that Clausius relation can be obtained by projecting the UFL along the Kodama vector on the horizon and the result is found to be true for any horizon. Finally motivated by the Unruh temperature for the Rindler observer, surface gravity is redefined and a Clausius relation is obtained from the UFL by projecting it along a vector analogous to the Kodama vector.http://link.springer.com/article/10.1140/epjc/s10052-017-5179-9 |
| spellingShingle | Sourav Haldar Sudipto Bhattacharjee Subenoy Chakraborty Unified first law and some general prescription: a redefinition of surface gravity European Physical Journal C: Particles and Fields |
| title | Unified first law and some general prescription: a redefinition of surface gravity |
| title_full | Unified first law and some general prescription: a redefinition of surface gravity |
| title_fullStr | Unified first law and some general prescription: a redefinition of surface gravity |
| title_full_unstemmed | Unified first law and some general prescription: a redefinition of surface gravity |
| title_short | Unified first law and some general prescription: a redefinition of surface gravity |
| title_sort | unified first law and some general prescription a redefinition of surface gravity |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-5179-9 |
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