On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity
Joint Authors
Corda, Christian
Jain, Rishabh
Sidharth, Burra G.
Source
Advances in High Energy Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Corda, Mosquera Cuesta, and Lorduy Gòmez have shown that spherically symmetric stationary states can be used as a model for galaxies in the framework of the linearized R2 gravity.
Those states could represent a partial solution to the Dark Matter Problem.
Here, we discuss an improvement of this work.
In fact, as the star density is a functional of the invariants of the associated Vlasov equation, we show that any of these invariants is in its turn a functional of the local energy and the angular momentum.
As a consequence, the star density depends only on these two integrals of the Vlasov system.
This result is known as the “Jeans theorem.” In addition, we find an analogy of the historical Tolman–Oppenheimer–Volkoff equation for the system considered in this paper.
For the sake of completeness, in the final section of the paper, we consider two additional models which argue that Dark Matter could not be an essential element.
American Psychological Association (APA)
Jain, Rishabh& Sidharth, Burra G.& Corda, Christian. 2016. On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity. Advances in High Energy Physics،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095161
Modern Language Association (MLA)
Jain, Rishabh…[et al.]. On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity. Advances in High Energy Physics No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1095161
American Medical Association (AMA)
Jain, Rishabh& Sidharth, Burra G.& Corda, Christian. On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity. Advances in High Energy Physics. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095161
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095161