String-inspired Teleparallel cosmology

Bahamonde, Sebastián; Marciu, Mihai; Odintsov, Sergei D.; Rudra, Prabir

doi:10.1016/j.nuclphysb.2020.115238

Cited by 14 publications

(22 citation statements)

References 69 publications

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“…This paper is a first step in the systematic analysis of the existence of hairy black-holes in scalar-torsion theories of gravity. It will be continued by extending the investigations on teleparallel Gauss-Bonnet scalar-torsion theory, such as the theories discussed in [65][66][67]. In the Riemannian case, it is well known that these theories have asymptotically flat scalarized black holes with spontaneous scalarization [32,33,36].…”

Section: Discussionmentioning

confidence: 95%

“…It should be noted that the solution (66) was found by only assuming C(r) = 1 while the above solution was obtained by assuming the coupling function and also the form of the scalar field. This means that the solution (66) is the most general one satisfying C(r) = 1 for our theory while the above solution might not be the most general solution for the squared coupling theory. Observe that the metric (71) is a generalisation of the metric (66) which we found earlier.…”

Section: Analytical Analysis Of the Field Equation For The Complex Te...mentioning

confidence: 93%

“…Again, this solution is non-asymptotically flat. By choosing A 0 = 1 1+2p , one recovers the metric (66). It should be noted that the solution (66) was found by only assuming C(r) = 1 while the above solution was obtained by assuming the coupling function and also the form of the scalar field.…”

Section: Analytical Analysis Of the Field Equation For The Complex Te...mentioning

confidence: 95%

“…-We now fix the coupling constant A(ψ) and then solve the field equations. Choosing A(ψ) = A 0 ψ 2 and also by imposing ψ(r) = ψ 0 r p , we can easily solve the system (27a)-(27d) which gives a more general solution than (66). This solution has the same form as (66) for the scalar field ψ(r) and the coupling function A(ψ) = − 1 4 pβψ 2 , meaning that the field equations are solved only when the coupling constant is A 0 = − pβ 4 .…”

Section: Analytical Analysis Of the Field Equation For The Complex Te...mentioning

confidence: 99%

“…Here, we have also set A 0 = 1 to recover Schwarzschild at the background level. Notice that since we assumed that, the above expanded metric would have a different behaviour as (66). This solution then corresponds to a scalarised black hole solution with p being the parameter that controls the scalar field.…”

Section: Analytical Analysis Of the Field Equation For The Complex Te...mentioning

confidence: 99%

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Scalarized Black Holes in Teleparallel Gravity

Bahamonde,

Ducobu,

Pfeifer

2022

Preprint

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Black holes play a crucial role in the understanding of the gravitational interaction. Through the direct observation of the shadow of a black hole by the event horizon telescope and the detection of gravitational waves of merging black holes we now start to have direct access to their properties and behaviour, which means the properties and behaviour of gravity. This further raised the demand for models to compare with those observations. In this respect, an important question regarding black holes properties is to know if they can support "hairs". While this is famously forbidden in general relativity, in particular for scalar fields, by the so-called no-hair theorems, hairy black holes have been shown to exist in several class of scalar-tensor theories of gravity. In this article we investigate the existence of scalarized black holes in scalar-torsion theories of gravity. On one hand, we find exact solutions for certain choices of couplings between a scalar field and the torsion tensor of a teleparallel connection and certain scalar field potentials, and thus proof the existence of scalarized black holes in these theories. On the other hand, we show that it is possible to establish no-scalar-hair theorems similar to what is known in general relativity for other choices of these functions.

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Section: Discussionmentioning

confidence: 95%

Section: Analytical Analysis Of the Field Equation For The Complex Te...mentioning

confidence: 93%

Section: Analytical Analysis Of the Field Equation For The Complex Te...mentioning

confidence: 95%

Section: Analytical Analysis Of the Field Equation For The Complex Te...mentioning

confidence: 99%

Section: Analytical Analysis Of the Field Equation For The Complex Te...mentioning

confidence: 99%

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Scalarized Black Holes in Teleparallel Gravity

Bahamonde,

Ducobu,

Pfeifer

2022

Preprint

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Constraints on cubic and f(P) gravity from the cosmic chronometers, BAO & CMB datasets: Use of machine learning algorithms

Giri

Rudra²

2022

Nuclear Physics B

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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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String-inspired Teleparallel cosmology

Cited by 14 publications

References 69 publications

Scalarized Black Holes in Teleparallel Gravity

Scalarized Black Holes in Teleparallel Gravity

Constraints on cubic and f(P) gravity from the cosmic chronometers, BAO & CMB datasets: Use of machine learning algorithms

Teleparallel gravity: from theory to cosmology

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