A systematic approach to generalisations of General Relativity and their cosmological implications

Heisenberg, Lavinia

doi:10.1016/j.physrep.2018.11.006

Cited by 362 publications

(315 citation statements)

References 287 publications

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“…This is achieved thanks to the spin connection that is contained inside the Weitzenböck connection. This is a unique feature to teleparallel theories of gravity in general [1,14], and TEGR in particular, that is not shared by any other alternative theories of gravity. This feature of the theory is behind the remarkable possibility of defining an energymomentum tensor for the gravitational field [15,16].…”

mentioning

confidence: 82%

Noether charge and black hole entropy in teleparallel gravity

Hammad¹,

Dijamco²,

Torres-Rivas³

et al. 2019

Phys. Rev. D

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The Noether charge associated to diffeomorphism invariance in teleparallel gravity is derived. It is shown that the latter yields the ADM mass of an asymptotically flat spacetime. The black hole entropy is then investigated based on Wald's prescription that relies on the Noether charge. It is shown that, like in general relativity, the surface gravity can be factored out from such a charge. Consequently, the similarity with the first law of thermodynamics implied by such an approach in general relativity does show up also in teleparallel gravity. It is found that, based on the expression of the first law of black hole mechanics, which is preserved in teleparallel gravity, entropy can thus be extracted from such a Noether charge. The resulting entropy can very naturally be expressed as a volume integral, though. As such, it is shown that the conformal issue that plagues the entropy-area law within general relativity does not arise in teleparallel gravity based on Wald's approach. The physics behind these features is discussed.

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mentioning

confidence: 82%

Noether charge and black hole entropy in teleparallel gravity

Hammad¹,

Dijamco²,

Torres-Rivas³

et al. 2019

Phys. Rev. D

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“…There are several modified theories of gravity, for some reviews, see [9][10][11][12]. The theory that we are interested in this paper is related to the so-called Teleparallel theories of gravity.…”

Section: Introductionmentioning

confidence: 99%

Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Bahamonde

Camcı²

2019

Symmetry

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Finding spherically symmetric exact solutions in modified gravity is usually a difficult task. In this paper we use the Noether's symmetry approach for a modified Teleparallel theory of gravity labelled as f (T, B) gravity where T is the scalar torsion and B the boundary term. Using the Noether's theorem, we were able to find exact spherically symmetric solutions for different forms of the function f (T, B) coming from the Noether's symmetries.

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“…There are, of course, some solutions that need further studies and some questions remain open for future works. The application of CFD has proven to provide a handful approach to the Wheeler-DeWitt quantization of Hamiltonians like (9), which has momenta with fractional powers, thus making it possible to extend this fractional method to other theories, like the k-essence studied in [50]. Another natural extension of the method developed here is the application of other fractional derivatives, which may also reveal complementary points of view for the quantum effects.…”

Section: Discussionmentioning

confidence: 97%

“…Let us consider (9) in minisuperspace [19]. Classically, V J (φ) and V (φ) must have the same sign for every value of φ, due to the classical constraint below:…”

Section: The Fab Four John Cosmological Theorymentioning

confidence: 99%

Quantum Cosmology of Fab Four John Theory with Conformable Fractional Derivative

et al. 2020

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We study a quantization via fractional derivative of a nonminimal derivative coupling cosmological theory, namely, the Fab Four John theory. Its Hamiltonian version presents the issue of fractional powers in the momenta. That problem is solved here by the application of the so-called conformable fractional derivative. This leads to a Wheeler-DeWitt equation of second order, showing that a Bohm-de Broglie interpretation can be constructed. That combination of fractional quantization and Bohmian interpretation provides us a new quantization method, in which the quantum potential is the criterion to say if a quantum solution is acceptable or not to be further studied. We show that a wide range of solutions for the scale factor is possible. Among all of those, a bouncing solution analogous to the perfect fluid cosmology seems to deserve special attention. *

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A systematic approach to generalisations of General Relativity and their cosmological implications

Cited by 362 publications

References 287 publications

Noether charge and black hole entropy in teleparallel gravity

Noether charge and black hole entropy in teleparallel gravity

Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Quantum Cosmology of Fab Four John Theory with Conformable Fractional Derivative

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