Solving Tolman-Oppenheimer-Volkoff Equations in f(T) Gravity: a Novel Approach Applied to Polytropic Equations of State

Araújo, J. C. N. de; Fortes, H. G. M.

doi:10.1007/s13538-023-01293-x

Braz J Phys

2023

DOI: 10.1007/s13538-023-01293-x

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Solving Tolman-Oppenheimer-Volkoff Equations in f(T) Gravity: a Novel Approach Applied to Polytropic Equations of State

J. C. N. de Araújo

H. G. M. Fortes

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Cited by 3 publications

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Scalar-multi-tensor approach to fT,B,∇μT,∇μB teleparallel gravity

Assencio,

Pompeia

2024

Class. Quantum Grav.

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In this work we analyze, in the context of modified teleparallel gravity, the equivalence between scalar-vector-tensor theories and geometrical theories of the type f T , B , ∇ μ T , ∇ μ B , where T and B are respectively the scalar torsion and the boundary scalar. This analysis is performed in the Jordan and Einstein frames. In particular, in the latter frame, two distinct cases are analyzed, where the role of surface terms is discussed. The equivalence between the geometrical and the scalar-vector-tensor approaches is verified for regular systems, i.e. for systems that present a regular Hessian matrix. An example is presented and the analysis of the Cauchy problem is made for the different approaches. An extension for systems that include higher-order derivatives of T and B is briefly presented, showing the equivalence between the geometrical and scalar-multi tensor theories.

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Scalar-multi-tensor approach to fT,B,∇μT,∇μB teleparallel gravity

Assencio,

Pompeia

2024

Class. Quantum Grav.

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Mass of compact stars in f(T) gravity

Neves

Fortes

2023

Eur. Phys. J. C

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The mass of compact objects in General Relativity (GR), which as is well known, is obtained via the Tolman–Oppenheimer–Volkov (TOV) equations, is a well defined quantity. However, in alternative gravity, this is not in general the case. In the particular case of f(T) gravity, where T is the scalar torsion, some authors consider that this is still an open question, since it is not guaranteed that the same equation used in TOV GR holds. In this paper we consider such an important issue and compare different ways to calculate the mass of compact objects in f(T) gravity. In particular, we argue that one of them, the asymptotic mass, may be the most appropriate way to calculate mass in this theory. We adopt realistic equations of state in all the models presented in this article.

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Compact stars in $$f(T) = T +\xi T^\beta $$ gravity

de Araujo,

Fortes

2023

Eur. Phys. J. C

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The Teleparallel Theory is equivalent to General Relativity, but whereas in the latter gravity has to do with curvature, in the former gravity is described by torsion. As is well known, there is in the literature a host of alternative theories of gravity, among them the so called extended theories, in which additional terms are added to the action, such as for example in the f(R) and f(T) gravities, where R is the Ricci scalar and T is the scalar torsion, respectively. One of the ways to probe alternative gravity is via compact objects. In fact, there is in the literature a series of papers on compact objects in f(R) and f(T) gravity. In particular, there are several papers that consider $$f(T) = T + \xi T^2$$ f ( T ) = T + ξ T 2 , where $$\xi $$ ξ is a real constant. In this paper, we generalise such extension considering compact stars in $$f (T ) = T + \xi T^\beta $$ f ( T ) = T + ξ T β gravity, where $$\xi $$ ξ and $$\beta $$ β are real constants and looking out for the implications in their maximum masses and compactness in comparison to the General Relativity. Also, we are led to constrain the $$\beta $$ β parameter to positive integers which is a restriction not imposed by cosmology.

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Solving Tolman-Oppenheimer-Volkoff Equations in f(T) Gravity: a Novel Approach Applied to Polytropic Equations of State

Cited by 3 publications

References 24 publications

Scalar-multi-tensor approach to fT,B,∇μT,∇μB teleparallel gravity

Scalar-multi-tensor approach to fT,B,∇μT,∇μB teleparallel gravity

Mass of compact stars in f(T) gravity

Compact stars in $$f(T) = T +\xi T^\beta $$ gravity

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