Energy and entropy in the geometrical trinity of gravity

Gomes, Débora Aguiar; Jiménez, Jose Beltrán; Koivisto, Tomi S.

doi:10.1103/physrevd.107.024044

Cited by 16 publications

(15 citation statements)

References 155 publications

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“…Firstly, it is consistent with the Noether theorems [17]. Secondly, it predicts the physical observables [18].…”

Section: Introductionsupporting

confidence: 73%

“…Physical observables are described as conserved charges, given by fluxes of field excitations on a closed surface (e.g. [18,[63][64][65][66][67]). This is the operational definition of an observable.…”

Section: Paragravitymentioning

confidence: 99%

“…Remarkably, this formulation resolves the long-standing problem of the Noether's 1 st theorem in the standard model gauge theories [69], which was not yet satisfactorily addressed in ref. [18]. 3 These equations often imply that the observables can be formally re-expressed as volume integrals over matter sources.…”

Section: Paragravitymentioning

confidence: 99%

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General parallel cosmology

Aguiar Gomes,

Beltrán Jiménez,

Koivisto

2023

J. Cosmol. Astropart. Phys.

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General (tele)parallel Relativity, G∥R, is the relativistic completion of Einstein's theories of gravity. The focus of this article is the derivation of the homogeneous and isotropic solution in G∥R. The first-principles derivation, based on a non-trivial realisation of the symmetry, supersedes and unifies previous constructions of Riemannian and teleparallel cosmologies, and establishes the uniqueness of the physical solution. The constitutive law and the form of the material and inertial source currents is presented in the tensor (Palatini) formalism and adapted to the cosmological background, which exhibits novel features absent in the previously studied, static solutions to the theory. The results are contrasted with those in incomplete theories, such as sitting at the three corners of the geometrical trinity which correspond to particular reference frames in G∥R.

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“…Firstly, it is consistent with the Noether theorems [17]. Secondly, it predicts the physical observables [18].…”

Section: Introductionsupporting

confidence: 73%

Section: Paragravitymentioning

confidence: 99%

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General parallel cosmology

Aguiar Gomes,

Beltrán Jiménez,

Koivisto

2023

J. Cosmol. Astropart. Phys.

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“…following any of the procedures outlined in the subsection above. Such a tensor can be consistently defined in the context of the geometrical trinity [22,26] which is outside the scope of this article, but otherwise it is known that there is no local definition of energy-momentum tensor for the gravitational field in a diffeomorphism-invariant theory. Therefore, either we construct a non-gauge-invariant tensor (which would be hard to be given a clear physical meaning), or we construct a non-conserved quantity [27][28][29].…”

Section: Jcap12(2023)006mentioning

confidence: 99%

“…Also, in some cases it is not a tensor, and it may not be gauge-invariant. It has been argued that the properly defined Noether current should be equivalent to the Hilbert energy-momentum tensor, and it is thus a somewhat misleading convention to call (2.1) "the canonical energy-momentum tensor"[22]. However, in this paper we stick to the conventional terminology.…”

mentioning

confidence: 99%

Bootstrapping gravity and its extension to metric-affine theories

Delhom,

García-Moreno,

Hohmann

et al. 2023

J. Cosmol. Astropart. Phys.

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In this work we study diffeomorphism-invariant metric-affine theories of gravity from the point of view of self-interacting field theories on top of Minkowski spacetime (or other background). We revise how standard metric theories couple to their own energy-momentum tensor, and discuss the generalization of these ideas when torsion and nonmetricity are also present. We review the computation of the corresponding currents through the Hilbert and canonical (Noether) prescriptions, emphasizing the potential ambiguities arising from both. We also provide the extension of this consistent self-coupling procedure to the vielbein formalism, so that fermions can be included in the matter sector. In addition, we clarify some subtle issues regarding previous discussions on the self-coupling problem for metric theories, both General Relativity and its higher derivative generalizations. We also suggest a connection between Lovelock theorem and the ambiguities in the bootstrapping procedure arising from those in the definition of conserved currents.

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Non-trivial thick brane realisations with 3-forms

Barros,

Jiménez

2024

J. High Energ. Phys.

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We explore the construction of four-dimensional thick branes supported by massless 3-forms in a five-dimensional bulk space. The required residual Poincaré symmetry on the brane is realised as a combination of the bulk symmetries and the internal gauge symmetry of the 3-form. We show the presence of a gradient instability for the perturbations orthogonal to the brane when its profile decays slowly in the asymptotic regions. In particular, we ascertain that the prevailing profiles found in the literature are susceptible to such instabilities. We confirm our results by transitioning to the dual formulation in terms of a shift-symmetric scalar. In this formulation, the residual Poincaré group is trivially realised without internal symmetries, and there is a diagonal translational invariance in the fifth dimension reminiscent of the invariance under translations orthogonal to the brane of the dual 3-form. We demonstrate the extension of our results to the cases of de Sitter and Anti de Sitter branes where the gradient instabilities of asymptotically slowly decaying branes persist. Finally, we briefly comment on the construction of thick branes with massive 3-forms and their 1-form duals.

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Energy and entropy in the geometrical trinity of gravity

Cited by 16 publications

References 155 publications

General parallel cosmology

General parallel cosmology

Bootstrapping gravity and its extension to metric-affine theories

Non-trivial thick brane realisations with 3-forms

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