Metric-affine bumblebee gravity: classical aspects

Delhom, Adria; Nascimento, J. R.; Olmo, Gonzalo J.; Petrov, A. Yu.; Porfírio, Paulo. J.

doi:10.48550/arxiv.1911.11605

Cited by 4 publications

(25 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Notice that the above action (2.8) is the Einstein-Hilbert action for the new metric h µν coupled to a modified matter sector Sm , which encodes a tower of non-linear interactions between the bumblebee field and all the fields in the matter sector S m appearing in the original action (2.1). The interested reader is referred to [1] for details on the physical equivalence between (2.1) and (2.8).…”

Section: The Metric-affine Bumblebee Modelmentioning

confidence: 99%

“…In this section we focus our attention on the quantum dynamics of the spinor matter field in the weak gravitational field limit, where h µν ≈ η µν or equivalently, neglecting O(ξ 2 ) terms, [1]. To that end, we have to specify a particular form for the bumblebee potential, which we will choose to be the usual mexican hat potential, given by…”

Section: Radiative Correctionsmentioning

confidence: 99%

“…Given the experimental difficulties to probe such theories at the Planck scale, it is useful to follow a bottom-up approach and consider effective field theories (EFT) containing operators which are a source for local Lorentz violation (LV). The Standard-Model Extension (SME) proposed in [13,14], as well as its extension to a gravitational sector described by GR at low energies [15], is a general framework which incorporates all possible Lorentz and CPT-violating operators that can be written in terms of fields which belong to some representation of the Poincaré group 1 . The operators that appear in these effective field theories could be understood as the low-energy effective action of some UV theory with a spontaneous breakdown of Lorentz symmetry due to some set of nonscalar fields that develop a non-trivial vacuum expectation value (VEV).…”

Section: Introductionmentioning

confidence: 99%

“…These works paved the road to study particular examples in which the non-trivial nonmetricity or torsion VEV that spontaneously breaks the Lorentz symmetry is generated by the gravitational dynamics. In this direction, the metric-affine version of the bumblebee model has recently been formulated in [1]. That work focused on the classical aspects of the theory, showing that this model can be embedded in a generalization of the Ricci-basedgravity (RBG) class [23][24][25][26][27][28][29][30][31] where non-minimal couplings between some matter fields and the Ricci tensor are allowed.…”

Section: Introductionmentioning

confidence: 99%

“…To that end, we will consider quantum Dirac fields as the matter content of the model. As explained in [1], these will be described by a classical effective Lagrangian which can be expanded in powers of the non-minimal coupling parameter ξ. Given that the terms of order ξ 2 would be of the same order as quadratic curvature corrections which are not present in the bumblebee model, we will stick to O(ξ) corrections for consistency.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Metric-affine bumblebee gravity: classical aspects

et al. 2021

Self Cite

View full text Add to dashboard Cite

We consider the metric-affine formulation of bumblebee gravity, derive the field equations, and show that the connection can be written as Levi-Civita of a disformally related metric in which the bumblebee field determines the disformal part. As a consequence, the bumblebee field gets coupled to all the other matter fields present in the theory, potentially leading to nontrivial phenomenological effects. To explore this issue we compute the post-Minkowskian, weak-field limit and study the resulting effective theory. In this scenario, we couple scalar and spinorial matter to the effective metric, and then we explore the physical properties of the VEV of the bumblebee field, focusing mainly on the dispersion relations and the stability of the resulting effective theory.

show abstract

Section: The Metric-affine Bumblebee Modelmentioning

confidence: 99%

Section: Radiative Correctionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Metric-affine bumblebee gravity: classical aspects

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

An exact stationary axisymmetric vacuum solution within a metric-affine bumblebee gravity

Araújo Filho,

Nascimento,

Petrov

et al. 2024

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

Within the framework of the spontaneous Lorentz symmetry breaking (LSB), we consider a metric-affine generalization of the gravitational sector of the Standard Model Extension (SME), including the Lorentz-violating (LV) coefficients u and sμν . In this model, we derive the modified Einstein field equations in order to obtain a new axisymmetric vacuum spinning solution for a particular bumblebee's profile. Such a solution has the remarkable property of incorporating the effects of LSB through the LV dimensionless parameter X = ξb 2, with ξ is the nonminimal coupling constant, and b 2 = bμbμ , with bμ is the vacuum expectation value of the bumblebee field; as the LSB is turned off, X = 0, we recover the well-established result, the Kerr solution, as expected. Afterwards, we calculate the geodesics, the radial acceleration and thermodynamic quantities for this new metric. We also estimate an upper bound for X by using astrophysical data of the advance of Mercury's perihelion.

show abstract

Modified Gravity and Cosmology: An Update by the CANTATA Network

Saridakis¹,

Lazkoz²,

Salzano³

et al. 2021

Preprint

Self Cite

160

184

View full text Add to dashboard Cite

General Relativity and the ΛCDM framework are currently the standard lore and constitute the concordance paradigm. Nevertheless, long-standing open theoretical issues, as well as possible new observational ones arising from the explosive development of cosmology the last two decades, offer the motivation and lead a large amount of research to be devoted in constructing various extensions and modifications.All extended theories and scenarios are first examined under the light of theoretical consistency, and then are applied to various geometrical backgrounds, such as the cosmological and the spherical symmetric ones. Their predictions at both the background and perturbation levels, and concerning cosmology at early, intermediate and late times, are then confronted with the huge amount of observational data that astrophysics and cosmology are able to offer recently. Theories, scenarios and models that successfully and efficiently pass the above steps are classified as viable and are candidates for the description of Nature.We list the recent developments in the fields of gravity and cosmology, presenting the state of the art, high-lighting the open problems, and outlining the directions of future research.

show abstract

Metric-affine bumblebee gravity: classical aspects

Cited by 4 publications

References 0 publications

Metric-affine bumblebee gravity: classical aspects

Metric-affine bumblebee gravity: classical aspects

An exact stationary axisymmetric vacuum solution within a metric-affine bumblebee gravity

Modified Gravity and Cosmology: An Update by the CANTATA Network

Contact Info

Product

Resources

About