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Field Equations for Lovelock Gravity: An Alternative Route
Author
Source
Advances in High Energy Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-19
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We present an alternative derivation of the gravitational field equations for Lovelock gravity starting from Newton’s law, which is closer in spirit to the thermodynamic description of gravity.
As a warm up exercise, we have explicitly demonstrated that, projecting the Riemann curvature tensor appropriately and taking a cue from Poisson’s equation, Einstein’s equations immediately follow.
The above derivation naturally generalizes to Lovelock gravity theories where an appropriate curvature tensor satisfying the symmetries as well as the Bianchi derivative properties of the Riemann tensor has to be used.
Interestingly, in the above derivation, the thermodynamic route to gravitational field equations, suited for null hypersurfaces, emerges quiet naturally.
American Psychological Association (APA)
Chakraborty, Sumanta. 2018. Field Equations for Lovelock Gravity: An Alternative Route. Advances in High Energy Physics،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1118167
Modern Language Association (MLA)
Chakraborty, Sumanta. Field Equations for Lovelock Gravity: An Alternative Route. Advances in High Energy Physics No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1118167
American Medical Association (AMA)
Chakraborty, Sumanta. Field Equations for Lovelock Gravity: An Alternative Route. Advances in High Energy Physics. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1118167
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118167