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 |
| Summary: | 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. |
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| ISSN: | 1434-6044 1434-6052 |