Show simple item record

dc.contributor.authorAadne, Matthew Terje
dc.contributor.authorGrøn, Øyvind
dc.date.accessioned2018-02-15T10:25:28Z
dc.date.accessioned2018-08-14T08:35:24Z
dc.date.available2018-02-15T10:25:28Z
dc.date.available2018-08-14T08:35:24Z
dc.date.issued2017-02-14
dc.identifier.citationAadne MT, Grøn Ø. Exact Solutions of the Field Equations for Empty Space in the Nash Gravitational Theory. Universe. 2017;3(1)en
dc.identifier.issn2218-1997
dc.identifier.urihttps://hdl.handle.net/10642/6045
dc.description.abstractJohn 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.isoenen
dc.publisherMDPIen
dc.relation.ispartofseriesUniverse;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.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectNash, John Forbes 1928 - 2015en
dc.subjectGravitational theoriesen
dc.subjectSolutionsen
dc.titleExact Solutions of the Field Equations for Empty Space in the Nash Gravitational Theoryen
dc.typeJournal articleen
dc.typePeer revieweden
dc.date.updated2018-02-15T10:25:28Z
dc.description.versionpublishedVersionen
dc.identifier.doihttp://dx.doi.org/10.3390/universe3010010
dc.identifier.cristinID1450599
dc.source.issn2218-1997
dc.relation.journalUniverse


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

© 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.
Except where otherwise noted, this item's license is described as © 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.