Neutron Stars in the Context of <i>f</i>(<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">T</mi><mo>,</mo><mi mathvariant="script">T</mi></mrow></semantics></math></inline-formula>) Gravity
Clésio E. Mota,
Luis C. N. Santos,
Franciele M. da Silva,
César V. Flores,
Iarley P. Lobo,
Valdir B. Bezerra
Affiliations
Clésio E. Mota
Departamento de Física, CFM-Universidade Federal de Santa Catarina, C.P. 476, Florianópolis CEP 88040-900, SC, Brazil
Luis C. N. Santos
Departamento de Física, CCEN-Universidade Federal da Paraíba, C.P. 5008, João Pessoa CEP 58051-970, PB, Brazil
Franciele M. da Silva
Núcleo Cosmo–Ufes & Departamento de Física, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 540, Vitória CEP 29075-910, ES, Brazil
César V. Flores
Centro de Ciências Exatas, Naturais e Tecnológicas, CCENT-Universidade Estadual da Região Tocantina do Maranhão, C.P. 1300, Imperatriz CEP 65901-480, MA, Brazil
Iarley P. Lobo
Department of Chemistry and Physics, Federal University of Paraíba, Rodovia BR 079-Km 12, Areia CEP 58397-000, PB, Brazil
Valdir B. Bezerra
Departamento de Física, CCEN-Universidade Federal da Paraíba, C.P. 5008, João Pessoa CEP 58051-970, PB, Brazil
In this work, we investigate the existence of neutron stars (NS) in the framework of f(T,T) gravity, where T is the torsion tensor and T is the trace of the energy–momentum tensor. The hydrostatic equilibrium equations are obtained, however, with p and ρ quantities passed on by effective quantities p¯ and ρ¯, whose mass–radius diagrams are obtained using modern equations of state (EoS) of nuclear matter derived from relativistic mean field models and compared with the ones computed by the Tolman–Oppenheimer–Volkoff (TOV) equations. Substantial changes in the mass–radius profiles of NS are obtained even for small changes in the free parameter of this modified theory. The results indicate that the use of f(T,T) gravity in the study of NS provides good results for the masses and radii of some important astrophysical objects, as, for example, the NS of low-mass X-ray binary in NGC 6397, the millisecond pulsar PSR J0740+6620 and the GW170817 event. In addition, radii results inferred from the Lead Radius Experiment (PREX-2) can also be described for certain parameter values.
