dc.contributor.author | Aadne, Matthew Terje | |
dc.contributor.author | Grøn, Øyvind | |
dc.date.accessioned | 2018-02-15T10:25:28Z | |
dc.date.accessioned | 2018-08-14T08:35:24Z | |
dc.date.available | 2018-02-15T10:25:28Z | |
dc.date.available | 2018-08-14T08:35:24Z | |
dc.date.issued | 2017-02-14 | |
dc.identifier.citation | Aadne MT, Grøn Ø. Exact Solutions of the Field Equations for Empty Space in the Nash Gravitational Theory. Universe. 2017;3(1) | en |
dc.identifier.issn | 2218-1997 | |
dc.identifier.issn | 2218-1997 | |
dc.identifier.uri | https://hdl.handle.net/10642/6045 | |
dc.description.abstract | John Nash has proposed a new theory of gravity. We define a Nash-tensor equal to the curvaturetensorappearingintheNashfieldequationsforemptyspace,andcalculateitscomponents for two cases: 1. A static, spherically symmetric space; and 2. The expanding, homogeneous and isotropic space of the Friedmann-Lemaitre-Robertson-Walker (FLRW) universe models. We find the general, exact solution of Nash’s field equations for empty space in the static case. The line element turns out to represent the Schwarzschild-de Sitter spacetime. Also we find the simplest non-trivial solution of the field equations in the cosmological case, which gives the scale factor corresponding to the de Sitter spacetime. Hence empty space in the Nash theory corresponds to a space with Lorentz Invariant Vacuum Energy (LIVE) in the Einstein theory. This suggests that dark energy may be superfluous according to the Nash theory. We also consider a radiation filled universe model in an effort to find out how energy and matter may be incorporated into the Nash theory. A tentative interpretation of the Nash theory as a unified theory of gravity and electromagnetism leads to a very simple form of the field equations in the presence of matter. It should be noted, however, that the Nash theory is still unfinished. A satisfying way of including energy momentum into the theory has yet to be found. | en |
dc.language.iso | en | en |
dc.publisher | MDPI | en |
dc.relation.ispartofseries | Universe;Volume 3, Issue 1 | |
dc.rights | © 2017 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) License. | en |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Nash, John Forbes 1928 - 2015 | en |
dc.subject | Gravitational theories | en |
dc.subject | Solutions | en |
dc.title | Exact Solutions of the Field Equations for Empty Space in the Nash Gravitational Theory | en |
dc.type | Journal article | en |
dc.type | Peer reviewed | en |
dc.date.updated | 2018-02-15T10:25:28Z | |
dc.description.version | publishedVersion | en |
dc.identifier.doi | http://dx.doi.org/10.3390/universe3010010 | |
dc.identifier.cristin | 1450599 | |
dc.source.journal | Universe | |