Solving Tolman-Oppenheimer-Volkoff equations in $f(T)$ gravity: a novel approach

Abstract

The torsion models have stood out among the proposals for an alternative description of gravity. The simplest of them, the Teleparallel theory, is equivalent to General Relativity and there are many studies that seek to study its extension to more general functions of the torsion $T$. The purpose of {our study } is to consider a family of $f(T)$ models and apply their corresponding Tolman-Oppenheimer-Volkof equations to compact objects such as neutron stars. Consequently, through a numerical analysis, calculate, among other things, the maximum mass allowed by the model for a neutron star, which would also allow us to evaluate which models are in accordance with observations. In the present paper, the first in the series, we show explicitly the set of equations that must be solved, and how to solve it, in order to model compact stars in $f(T)$ gravity without the need to adopt any particular form for the metric functions or consider any perturbative approach, as has been done in some works in the literature.

References in corpus (9)

• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Teleparallel Gravity: From Theory to Cosmology
• Good and bad tetrads in f(T) gravity
• Solar system constraints on f(T) gravity
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• Solving Tolman-Oppenheimer-Volkoff equations in f(T) gravity: a novel approach applied to some realistic equations of state

Cited by in corpus (11)

• Teleparallel Gravity: From Theory to Cosmology
• Neutron Star in Covariant $f(Q)$ gravity
• Compact stars in $f(T)=T+\xi T^{\beta }$ gravity
• Neutron Stars in Modified Teleparallel Gravity
• Solving Tolman-Oppenheimer-Volkoff equations in $f(T)$ gravity: a novel approach applied to polytropic equations of state
• Mass of compact stars in f(T) gravity
• Cosmological singularities in $f(T,\varphi )$ gravity
• Non-minimally coupled teleparallel scalar field reconstruction of matter bounce scenario
• Polytropic Stars in $f(Q)=Q+\xi Q^2$ covariant formulation
• Neutron Stars in Scalar Torsion Theories with Nonminimal Coupling
• White Dwarf Envelops and Temperature Corrections in Exponential $f(T)$ Gravity