The trace of the trace of the energy-momentum tensor-dependent Einstein's field equations

Author(s)

Moraes, P. H. R. S.

• Document type: Journal article
• Source: EUROPEAN PHYSICAL JOURNAL C; v. 79, n. 8 AUG 13 2019.
• Web of Science Citations: 0

Abstract

The f (R, T) gravity field equations depend generically on both the Ricci scalar R and trace of the energymomentum tensor T. Within the assumption of perfect fluids, the theory carries an arbitrariness regarding the choice of the matter lagrangian density 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 L, which does not carry the arbitrariness. The obtained form for L shows that the f ( R, T) gravity is unimodular. A new version of the theory is, therefore, presented and forthcoming applications are expected. (AU)

• FAPESP's process: 13/26258-4 - Superdense matter in the universe
• Grantee: Manuel Máximo Bastos Malheiro de Oliveira
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 15/08476-0 - Gravitational waves in f(R,T) theories: polarization states and astrophysical sources
• Grantee: Pedro Henrique Ribeiro da Silva Moraes
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 18/20689-7 - Gauss-Bonnet Stars
• Grantee: Pedro Henrique Ribeiro da Silva Moraes
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor