Soldered bundle background for the de Sitter top

Armenta, Joel Angulo; Nieto, J. A.

doi:10.1063/1.2121227

Cited by 7 publications

(6 citation statements)

References 38 publications

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“…Equilibrium conditions for spinning particles in a Kerr-de Sitter space-time was considered in [18]. A relativistic top theory has been discussed in [19] from the point of view of the de Sitter group and some other mathematical aspects of this theory has been studied in [20].…”

Section: Introductionmentioning

confidence: 99%

Spinning particles in Schwarzschild–de Sitter space–time

Mortazavimanesh

Mohseni

2009

Gen Relativ Gravit

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After considering the reference case of the motion of spinning test bodies in the equatorial plane of the Schwarzschild space-time, we generalize the results to the case of the motion of a spinning particle in the equatorial plane of the Schwarzschild-de Sitter space-time. Specifically, we obtain the loci of turning points of the particle in this plane. We show that the cosmological constant affect the particle motion when the particle distance from the black hole is of the order of the inverse square root of the cosmological constant.

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Section: Introductionmentioning

confidence: 99%

Spinning particles in Schwarzschild–de Sitter space–time

Mortazavimanesh

Mohseni

2009

Gen Relativ Gravit

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“…† † The same connection with different gravitational dynamics has also been studied (See, e.g., Refs. [39][40][41][42][43][44][45][46][47][48][49][50] which are defined as:…”

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confidence: 99%

“…The same connection with different gravitational dynamics has also been studied (See, e.g. [12,13,14,15,16,17,18,19,20])…”

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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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“…The problem of matching the exterior solution with an interior solution has been studied in[12] 3. The same connection with different gravitational dynamics has also been studied (See, e.g [19][20][21][22][23][24][25][26][27]…”

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confidence: 99%

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

Huang

2009

Phys. Rev. D

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In the model of de Sitter gauge theory of gravity, the empty homogenous and isotropic spacetimes with constant curvature scalar and nonvanishing homogenous and isotropic torsion must have de Sitter metrics. The static de Sitter spacetime with static, O(3)-symmetric, vector torsion is the only spherically symmetric, vacuum solution with the metric of the form g µν = diag(A 2 (r), −B 2 (r), −r 2 , −r 2 sin 2 θ). The expressions of the torsion for different de Sitter spacetimes are presented. They are different from one to another. The properties of different de Sitter spacetimes with torsion are also studied.

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Soldered bundle background for the de Sitter top

Cited by 7 publications

References 38 publications

Spinning particles in Schwarzschild–de Sitter space–time

Spinning particles in Schwarzschild–de Sitter space–time

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

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

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