On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity
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...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/2601741 |
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| author | Rishabh Jain Burra G. Sidharth Christian Corda |
| author_facet | Rishabh Jain Burra G. Sidharth Christian Corda |
| author_sort | Rishabh Jain |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-346dc47d72e543678990cf0b90212b8c |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-346dc47d72e543678990cf0b90212b8c2025-02-03T07:24:46ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/26017412601741On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 GravityRishabh Jain0Burra G. Sidharth1Christian Corda2Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, OK 73019, USAInternational Institute for Applicable Mathematics & Information Sciences (IIAMIS), Hyderabad, IndiaResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, IranCorda, 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.http://dx.doi.org/10.1155/2016/2601741 |
| spellingShingle | Rishabh Jain Burra G. Sidharth Christian Corda On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity Advances in High Energy Physics |
| title | On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity |
| title_full | On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity |
| title_fullStr | On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity |
| title_full_unstemmed | On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity |
| title_short | On the Jeans Theorem and the “Tolman–Oppenheimer–Volkoff Equation” in R2 Gravity |
| title_sort | on the jeans theorem and the tolman oppenheimer volkoff equation in r2 gravity |
| url | http://dx.doi.org/10.1155/2016/2601741 |
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