Solving Tolman-Oppenheimer-Volkoff equations in f(T) gravity: a novel approach applied to some realistic equations of state

Abstract

There are many ways to probe alternative theories of gravity, namely, via: experimental tests at solar system scale, cosmological data and models, gravitational waves and compact objects. In the present paper we consider a model of gravity with torsion $f(T)$ applied to compact objects such as neutron stars (NSs) for a couple of realistic equations of state (EOS). To do so we follow our previous articles, in which we show how to model compact stars in this $f(T)$ gravity by obtaining its corresponding Tolman-Oppenheimer-Volkof equations and applying this prescription to model polytropic compact stars. In these modelling of NS in $f(T)$ gravity presented here, we calculate, among other things, the maximum mass allowed for a given realistic EOS, which would also allow us to evaluate which models are in accordance with observations. The results already known to General Relativity must be reproduced to some extent and, eventually, we can find models that allow higher maximum masses for NSs than Relativity itself, which could explain, for example, the secondary component of the event GW190814, if this star is a massive NS.

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
• Neutron-star radius constraints from GW170817 and future detections
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Maximum Baryon Masses for Static Neutron Stars in $f(R)$ Gravity
• On the maximum mass limit of neutron stars in scalar-tensor gravity
• Universal Inflationary Attractors Implications on Static Neutron Stars
• Neutron Stars in Scalar-tensor Gravity with Quartic Order Scalar Potential
• Uniqueness of the Inflationary Higgs Scalar for Neutron Stars and Failure of non-inflationary Approximations
• Novel Stellar Astrophysics from Extended Gravity

Cited by in corpus (9)

• 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
• 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
• Compact stars admitting Finch-Skea symmetry in the presence of various matter fields
• Polytropic Stars in $f(Q)=Q+\xi Q^2$ covariant formulation
• White Dwarf Envelops and Temperature Corrections in Exponential $f(T)$ Gravity