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

Fortes, H. G. M.; de Araujo, J. C. N.

doi:10.48550/arxiv.2105.04473

Cited by 6 publications

(18 citation statements)

References 20 publications

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“…In the first paper of the series [15], we show in detail how to obtain the set of differential equations necessary to model compact stars in f (T ) models. In the second paper [14], we restate the main equations and model spherical stars in a particular f (T ) model adopting polytropic EOSs.…”

Section: Basic Equationsmentioning

confidence: 99%

“…In the present paper, we consider the same set of equations presented in [14,15], but now solved for realistic EOSs.…”

Section: Basic Equationsmentioning

confidence: 99%

“…If instead one follows the covariant formulation of f (T ) gravity [16], in which the tetrad (e µ a ) and the spin connection are the dynamical variables, the same equations of motion are obtained (see also [15] for a brief discussion).…”

Section: Basic Equationsmentioning

confidence: 99%

“…In [14], it was used the polytropic equation of state to describe the structure of a spherically symmetrical object in gravitational equilibrium in a model with torsion, namely, f (T, ξ ) = T + ξ T 2 , where ξ is a free parameter. The TOV equations correspondent to f (T, ξ ) were obtained in [15] using a novel approach without any restriction on the metric functions or perturbative calculations. In this work, we will perform the numerical calculations in a analogous way what was done in [14] for this family of alternative models using, this time, realistic EOSs.…”

Section: Introductionmentioning

confidence: 99%

“…In Section 2 we present the main results obtained in [15] concerning the model f (T, ξ ). In Section 3, we proceed analogously to [14] in the numerical calculations in order to obtain the "Mass × Radius" and "Mass × Central Density" curves, from which one can obtain, for example, the maximum mass allowed for some realistic and representative EOSs.…”

Section: Introductionmentioning

confidence: 99%

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

Araújo¹,

Fortes²

2021

Preprint

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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.

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Section: Basic Equationsmentioning

confidence: 99%

“…In the present paper, we consider the same set of equations presented in [14,15], but now solved for realistic EOSs.…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Araújo¹,

Fortes²

2021

Preprint

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Teleparallel gravity: from theory to cosmology

et al. 2023

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Teleparallel gravity has significantly increased in popularity in recent decades, bringing attention to Einstein’s other theory of gravity. In this Review, we give a comprehensive introduction to how teleparallel geometry is developed as a gauge theory of translations together with all the other properties of gauge field theory. We also related this form of geometry to the broader metric-affine approach to forming gravitational theories where we describe a systematic way of constructing consistent teleparallel theories that respect certain physical conditions such as local Lorentz invariance. We first use teleparallel gravity to formulate a teleparallel equivalent of general relativity which is dynamically equivalent to general relativity but which may have different behaviors for other scenarios, such as quantum gravity. After setting this foundation, we describe the plethora of modified teleparallel theories of gravity that have been proposed in the literature. We attempt to connect them together into general classes of covariant gravitational theories. Of particular interest, we highlight the recent proposal of a teleparallel analogue of Horndeski gravity which offers the possibility of reviving all of the regular Horndeski contributions. In the second part of the Review, we first survey works in teleparallel astrophysics literature where we focus on the open questions in this regime of physics. We then discuss the cosmological consequences for the various formulations of teleparallel gravity. We do this at background level by exploring works using various approaches ranging from dynamical systems to Noether symmetries, and more. Naturally, we then discuss perturbation theory, firstly by giving a concise approach in which this can be applied in teleparallel gravity theories and then apply it to a number of important theories in the literature. Finally, we examine works in observational and precision cosmology across the plethora of proposal theories. This is done using some of the latest observations and is used to tackle cosmological tensions which may be alleviated in teleparallel cosmology. We also introduce a number of recent works in the application of machine learning to gravity, we do this through deep learning and Gaussian processes, together with discussions about other approaches in the literature.

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Dynamical stability analysis of accelerating f(T) gravity models

Lohakare

Mishra

et al. 2022

Eur. Phys. J. C

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In this paper, we have emphasized the stability analysis of the accelerating cosmological models obtained in f(T) gravity theory. The behaviour of the models based on the evolution of the equation of state parameter shows phantom-like behaviour at the present epoch. The scalar perturbation technique is used to create the perturbed evolution equations, and the stability of the models has been demonstrated. Also, we have performed the dynamical system analysis for both the models. In the two specific f(T) gravity models, three critical points are obtained in each model. In each model, at least one critical point has been observed to be stable.

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

Cited by 6 publications

References 20 publications

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

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

Teleparallel gravity: from theory to cosmology

Dynamical stability analysis of accelerating f(T) gravity models

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