de Sitter spacetimes with torsion in the model of de Sitter gauge theory of gravity

Huang, Chao-Guang; Ma, Meng-Sen

doi:10.1103/physrevd.80.084033

Cited by 7 publications

(13 citation statements)

References 48 publications

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“…Although the different dS spacetimes with nonzero torsion in the model have been obtained in Refs. [14,15], they are still not the S-dS solutions. For many quadratic models of gauge theory of gravity, S-dS solutions with spherically symmetric torsion have been given [16], but our model does not fall into those cases.…”

Section: Introductionmentioning

confidence: 96%

“…In the second case (Case B), the metric and torsion fields are not required to be differentiable with respect to Λ. The reason to relax the differentiability condition is that there exist indeed the dS spacetimes with torsion, where the torsion fields are not differentiable with respect to Λ at the point Λ = 0 [14]. In this case, the computation is simplified by means of setting Λ → 0 in the weak field approximate equations.…”

Section: Introductionmentioning

confidence: 99%

“…The purpose of this paper is to further study the weak field approximation of the model, taking more effects of Λ into consideration. Although there exist dS spacetimes with nonzero torsion in the model [14,15], we assume in this paper that the base spacetime is a torsion-free dS spacetime for simplicity, where the base spacetime is short for the the vacuum spacetime without perturbations from matter fields. Suppose that the deviation from the base spacetime due to the presence of the matter could be characterized by a parameter s, called the matter parameter.…”

Section: Introductionmentioning

confidence: 99%

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Weak Field Approximation in a Model of De Sitter Gravity: Schwarzschild–de Sitter Solutions

Huang

2013

Int. J. Mod. Phys. D

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The weak field approximation in a model of de Sitter (dS) gravity is investigated in the static and spherically symmetric case, under the assumption that the vacuum spacetime without perturbations from matter fields is a torsion-free dS spacetime. It is shown on one the hand that any solution should be singular at the center of the matter field, if the exterior is described by a Schwarzschild-de Sitter (S-dS) spacetime and is smoothly connected to the interior. On the other, all the regular solutions are obtained, which might be used to explain the galactic rotation curves without involving dark matter.

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Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Weak Field Approximation in a Model of De Sitter Gravity: Schwarzschild–de Sitter Solutions

Huang

2013

Int. J. Mod. Phys. D

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“…A ubiquitous feature of gauge-gravity theories is manifolds with non-vanishing torsion. When models based on the Poincaré [14] or de Sitter groups [15,16] were applied in cosmology, it was found that nonzero torsion can drive late time acceleration. Actually, in the de Sitter case nonzero torsion is a necessary condition for the existence of non-radiation cosmological matter.…”

Section: Introductionmentioning

confidence: 99%

Big bounce, slow-roll inflation, and dark energy from conformal gravity

2017

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We examine the cosmological sector of a gauge theory of gravity based on the SO(4,2) conformal group of Minkowski space. We allow for conventional matter coupled to the spacetime metric as well as matter coupled to the field that gauges special conformal transformations. An effective vacuum energy appears as an integration constant, and this allows us to recover the late time acceleration of the universe. Furthermore, gravitational fields sourced by ordinary cosmological matter (i.e. dust and radiation) are significantly weakened in the very early universe, which has the effect of replacing the big bang with a big bounce. Finally, we find that this bounce is followed by a period of nearlyexponential slow roll inflation that can last long enough to explain the large scale homogeneity of the cosmic microwave background. * geg@unb.ca †

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“…The different de Sitter spacetimes with nonzero torsion in the dS gravity have been presented in Ref. [38]. It has also been shown that all vacuum solutions of Einstein field equations with a cosmological constant are the vacuum solutions of the set of field equations without torsion [32][33][34]37].…”

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confidence: 99%

On torsion-free vacuum solutions of the model of de Sitter gauge theory of gravity (II)

Huang

2009

Front. Phys. China

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It is shown that all torsion-free vacuum solutions of the model of de Sitter (dS) gauge theory of gravity are the vacuum solutions of Einstein field equations with the same positive cosmological constant. Furthermore, for the gravitational theories with more general quadratic gravitational Lagrangian (F 2 + T 2 ), the torsion-free vacuum solutions are also the vacuum solutions of Einstein field equations.Keywords torsion-free vacuum solutions, model of de sitter gauge theory, gravity PACS numbers 04.20.Jb The astronomical observations show that our universe is probably an asymptotically de Sitter(dS) one [1][2][3][4][5][6]. This raises the interest on dS gauge theories of gravity. There is a model of dS gravity † , which was first proposed in the 1970s [7][8][9][10][11][12][13][14]. The dS gravity can be stimulated from dS invariant special relativity [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] and the principle of localization -the full symmetry of the special relativity as well as the laws of dynamics are both localized [32-37] -and realized in terms of the dS connection on a kind of totally umbilical submanifolds (under the dS-Lorentz gauge) and Yang-Mills type action [7][8][9][10][11][12][32][33][34][35][36]. It has been shown [35,36] that the dS gravity may explain the accelerating expansion and supply a natural transit from decelerating expansion to accelerating expansion without the help of the introduction of matter fields in addition to dust. The different de Sitter spacetimes with nonzero torsion in the dS gravity have been presented in Ref.[38]. It has also been shown that all vacuum solutions of Einstein field equations with a cosmological constant are the vacuum solutions of the set of field equations without torsion [32][33][34]37]. In particular, Schwarzschild-dS and Kerr-dS metrics are two solutions. The purpose of the present letter is to show that all vacuum, torsion-free solutions in the dS gravity are the vacuum solutions of Einstein field equations with the same positive cosmological constant. Therefore, one may expect that the dS gravity may pass all solar-system-scale observations and experimental tests for general relativity (GR).The dS gauge theory of gravity is established based on the following consideration. The non-gravitational theory is de Sitter invariant special relativity. The theory of gravity should follow the principle of localization, which says that the full symmetry as well as the laws of dynamics are both localized, and the gravitational action takes Yang-Mills-type.A model of dS gauge theory of gravity has been constructed [7][8][9][10][11][12][13][14][32][33][34][35][36][37] in terms of the de Sitter connection in the dS-Lorentz frame, which reads † †where B AB μ = η BC B A Cμ . Its curvature is thenwhere e a bμν = e a μ e bν − e a ν e bμ , e aμ = η ab e b μ , F ab μν and T a μν are the curvature and torsion of the Lorentz connection † Hereafter, the model of dS gauge theory of gravity is called the dS gravity for short in this paper. † † The...

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de Sitter spacetimes with torsion in the model of de Sitter gauge theory of gravity

Cited by 7 publications

References 48 publications

Weak Field Approximation in a Model of De Sitter Gravity: Schwarzschild–de Sitter Solutions

Weak Field Approximation in a Model of De Sitter Gravity: Schwarzschild–de Sitter Solutions

Big bounce, slow-roll inflation, and dark energy from conformal gravity

On torsion-free vacuum solutions of the model of de Sitter gauge theory of gravity (II)

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