The trace of the trace of the energy–momentum tensor-dependent Einstein’s field equations
Abstract The f(R, T) gravity field equations depend generically on both the Ricci scalar R and trace of the energy–momentum tensor T. Within the assumption of perfect fluids, the theory carries an arbitrariness regarding the choice of the matter lagrangian density $${\mathcal {L}}$$ L , not uniquely...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-7195-4 |
| _version_ | 1818317123536027648 |
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| author | P. H. R. S. Moraes |
| author_facet | P. H. R. S. Moraes |
| author_sort | P. H. R. S. Moraes |
| collection | DOAJ |
| description | Abstract The f(R, T) gravity field equations depend generically on both the Ricci scalar R and trace of the energy–momentum tensor T. Within the assumption of perfect fluids, the theory carries an arbitrariness regarding the choice of the matter lagrangian density $${\mathcal {L}}$$ L , not uniquely defined. Such an arbitrariness can be evaded by working with the trace of the theory field equations. From such an equation, one can obtain a form for $${\mathcal {L}}$$ L , which does not carry the arbitrariness. The obtained form for $${\mathcal {L}}$$ L shows that the f(R, T) gravity is unimodular. A new version of the theory is, therefore, presented and forthcoming applications are expected. |
| first_indexed | 2024-12-13T09:32:19Z |
| format | Article |
| id | doaj.art-10fc69e460f14e1694540e8ecab8d853 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-13T09:32:19Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-10fc69e460f14e1694540e8ecab8d8532022-12-21T23:52:28ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-08-017981510.1140/epjc/s10052-019-7195-4The trace of the trace of the energy–momentum tensor-dependent Einstein’s field equationsP. H. R. S. Moraes0Departamento de Física, ITA-Instituto Tecnológico de AeronáuticaAbstract The f(R, T) gravity field equations depend generically on both the Ricci scalar R and trace of the energy–momentum tensor T. Within the assumption of perfect fluids, the theory carries an arbitrariness regarding the choice of the matter lagrangian density $${\mathcal {L}}$$ L , not uniquely defined. Such an arbitrariness can be evaded by working with the trace of the theory field equations. From such an equation, one can obtain a form for $${\mathcal {L}}$$ L , which does not carry the arbitrariness. The obtained form for $${\mathcal {L}}$$ L shows that the f(R, T) gravity is unimodular. A new version of the theory is, therefore, presented and forthcoming applications are expected.http://link.springer.com/article/10.1140/epjc/s10052-019-7195-4 |
| spellingShingle | P. H. R. S. Moraes The trace of the trace of the energy–momentum tensor-dependent Einstein’s field equations European Physical Journal C: Particles and Fields |
| title | The trace of the trace of the energy–momentum tensor-dependent Einstein’s field equations |
| title_full | The trace of the trace of the energy–momentum tensor-dependent Einstein’s field equations |
| title_fullStr | The trace of the trace of the energy–momentum tensor-dependent Einstein’s field equations |
| title_full_unstemmed | The trace of the trace of the energy–momentum tensor-dependent Einstein’s field equations |
| title_short | The trace of the trace of the energy–momentum tensor-dependent Einstein’s field equations |
| title_sort | trace of the trace of the energy momentum tensor dependent einstein s field equations |
| url | http://link.springer.com/article/10.1140/epjc/s10052-019-7195-4 |
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