Aspects of the polynomial affine model of gravity in three dimensions

Castillo-Felisola, Oscar; Orellana, Oscar; Perdiguero, José; Ramírez, Francisca; Skirzewski, Aureliano; Zerwekh, Alfonso R.

doi:10.1140/epjc/s10052-021-09938-4

Eur. Phys. J. C

2022

DOI: 10.1140/epjc/s10052-021-09938-4

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Aspects of the polynomial affine model of gravity in three dimensions

Oscar Castillo-Felisola

Oscar Orellana

José Perdiguero

et al.

Abstract: The polynomial affine gravity is a model that is built up without the explicit use of a metric tensor field. In this article we reformulate the three-dimensional model and, given the decomposition of the affine connection, we analyse the consistently truncated sectors. Using the cosmological ansatz for the connection, we scan the cosmological solutions on the truncated sectors. We discuss the emergence of different kinds of metrics.

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Cited by 4 publications

References 49 publications

(104 reference statements)

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Cosmological solutions in polynomial affine gravity with torsion

Castillo-Felisola,

Grez,

Olmo

et al. 2024

Eur. Phys. J. C

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The Polynomial Affine Gravity is an alternative gravitational model, where the interactions are mediated solely by the affine connection, instead of the metric tensor. In this paper, we explore the space of solutions to the field equations when the torsion fields are turned on, in a homogeneous and isotropic (cosmological) scenario. We explore various metric structures that emerge in the space of solutions.

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Cosmological solutions in polynomial affine gravity with torsion

Castillo-Felisola,

Grez,

Olmo

et al. 2024

Eur. Phys. J. C

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Does the metric play a fundamental role in the building of gravitational models?

Castillo-Felisola,

Perdiguero Gárate

2023

Int. J. Geom. Methods Mod. Phys.

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The idea that general relativity could be an effective model, of a yet unknown theory of gravity, has gained momentum among theoretical physicists. The polynomial affine model of gravity is an alternative model of affine gravity that possesses many desirable features to pursue a quantum theory of gravitation. In this paper, we argue that such features are a consequence of the lack of a metric structure in the building of the model, even though a emergent metric could be defined. The model introduces additional degrees of freedom associated to the geometric properties of the space, which might shed light to understand the nature of the dark sector of the Universe. When the model is coupled to a scalar field, it is possible to define inflationary scenarios.

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A Probe into a (2 + 1)-Dimensional Combined Cosmological Model in f(R, T) Gravity

Islam

Aamir

Radinschi

et al. 2022

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This research is an extension of our earlier published (2+1) dimensional cosmological models in f(R,T) gravity with \(\text{Λ}\)(R, T) (IOP Conf. Ser. J. Phys. Conf. Ser. 2019, 1258, 012026). A different class of cosmological space model is studied under modified theories of f(R,T) gravity, where the cosmological constant \(\text{Λ}\) is expressed as a function of the Ricci scalar R and the trace of the stress-energy momentum tensor T. We call such a model as “\(\text{Λ}\)(R, T) gravity”. Such a specific form of \(\text{Λ}\)(R, T) has been defined in the dust as well as in the perfect fluid case. We intend to search for a combined model that satisfies the equation of state for dark energy matter or quintessence matter or perfect matter fluid. Some geometric and intrinsic physical properties of the model are also described. The energy conditions, pressure and density are discussed both when \(\text{Λ}\) = \(\text{Λ}\)(r) is a function of the radial parameter r, as well as when \(\text{Λ}\) is zero. We study the effective mass function and also the gravitational redshift function, both of which are found to be positive as per the latest observations. The cosmological model is studied in f(R,T) modified theory of gravity, where the gravitational Lagrangian is expressed both in terms of the Ricci scalar R and the trace of the stress-energy tensor T. The equation of state parameter is discussed in terms of ω corresponding to the three cases mentioned above. The behaviour of the cosmological constant is separately examined in the presence of quintessence matter, dark energy matter and perfect fluid matter.

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Aspects of the polynomial affine model of gravity in three dimensions

Cited by 4 publications

References 49 publications

Cosmological solutions in polynomial affine gravity with torsion

Cosmological solutions in polynomial affine gravity with torsion

Does the metric play a fundamental role in the building of gravitational models?

A Probe into a (2 + 1)-Dimensional Combined Cosmological Model in f(R, T) Gravity

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