dc.contributor.author | Aadne, Matthew Terje | |
dc.contributor.author | Grøn, Øyvind | |
dc.date.accessioned | 2018-02-16T12:09:36Z | |
dc.date.available | 2018-02-16T12:09:36Z | |
dc.date.created | 2017-02-14T22:58:15Z | |
dc.date.issued | 2017-02 | |
dc.identifier.citation | Aadne, M. T., Grøn, Ø. (2017) Exact Solutions of the Field Equations for Empty Space in the Nash Gravitational Theory. Universe. 3(1). | nb_NO |
dc.identifier.issn | 2218-1997 | |
dc.identifier.uri | http://hdl.handle.net/11250/2485376 | |
dc.description.abstract | John Nash has proposed a new theory of gravity. We define a Nash-tensor equal to the curvature tensor appearing in the Nash field equations for empty space, and calculate its components 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. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | MDPI | nb_NO |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.subject | gravitasjonsteori | nb_NO |
dc.subject | Nash | nb_NO |
dc.subject | theory of gravity | nb_NO |
dc.subject | astrofysikk | nb_NO |
dc.title | Exact Solutions of the Field Equations for Empty Space in the Nash Gravitational Theory | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.rights.holder | © 2017 by the authors; licensee MDPI. | nb_NO |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400::Fysikk: 430 | nb_NO |
dc.source.pagenumber | 7 | nb_NO |
dc.source.volume | 3 | nb_NO |
dc.source.journal | Universe | nb_NO |
dc.source.issue | 1 | nb_NO |
dc.identifier.doi | 10.3390/universe3010010 | |
dc.identifier.cristin | 1450599 | |
cristin.unitcode | 217,8,2,0 | |
cristin.unitname | Institutt for matematikk og naturvitenskap | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |