Massless particles in generalized Robertson–Walker 4-spacetimes

Cañadas-Pinedo, María A.; Gutiérrez, Manuel; Ortega, Miguel

doi:10.1007/s10231-013-0374-2

Cited by 6 publications

(11 citation statements)

References 14 publications

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“…In this framework, Einstein's equation plays the fundamental role to construct the cosmological models. Relativistic imperfect GRW fluid spacetime [40] models are of considerable interest in several areas of astrophysics [2,41,42], plasma physics [3], and nuclear physics [1,43,44].…”

Section: Discussionmentioning

confidence: 99%

“…In GR, the field of gravity with its source is the spacetime curvature and energymomentum tensor, respectively. Einstein equations which explain spacetime curvature evolution lead to current particle physics, equations in nuclear physics [1], astrophysics [2], and plasma physics [3]. To understand the general theory of relativity, we study the model of relativistic fluids from the view of differential geometry.…”

Section: Introductionmentioning

confidence: 99%

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Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric

Alkhaldi

Siddiqi

Khan

et al. 2021

Advances in Mathematical Physics

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In the present paper, we investigate the nature of Ricci-Yamabe soliton on an imperfect fluid generalized Robertson-Walker spacetime with a torse-forming vector field ξ . Furthermore, if the potential vector field ξ of the Ricci-Yamabe soliton is of the gradient type, the Laplace-Poisson equation is derived. Also, we explore the harmonic aspects of η -Ricci-Yamabe soliton on an imperfect fluid GRW spacetime with a harmonic potential function ψ . Finally, we examine necessary and sufficient conditions for a 1 -form η , which is the g -dual of the vector field ξ on imperfect fluid GRW spacetime to be a solution of the Schrödinger-Ricci equation.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric

Alkhaldi

Siddiqi

Khan

et al. 2021

Advances in Mathematical Physics

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“…As it is usual, we will consider an adequate space of curves ensuring that B vanishes (see for instance [21,19,22]). In particular, in this context we will consider the space of curves Γ with fixed endpoints as well as fixed tangent and normal vectors at these.…”

Section: Field Equationsmentioning

confidence: 99%

“…Indeed, the moduli space of trajectories for models whose action depends linearly on the curvature or torsion (or both) has been studied in some nontrivial gravitational fields such as spacetimes of constant curvature [19,20]. For the class of cosmological models known as generalized Robertson-Walker spacetimes a mathematical test for the curvature-dependent action in the case of dimension three and for curves contained in the rest spaces for comoving observers has been given in [21] and a subsequent generalization to four dimensions can be found in [22]. These latter investigations, to which the present work belongs, do not address the issue of quantization.…”

Section: Introductionmentioning

confidence: 99%

Relativistic particles with torsion in three-dimensional non-vacuum spacetimes

Herrera

Rosa

Rubio

2021

Journal of Mathematical Physics

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In this paper we analyze trajectories of spacelike curves which are critical points of a Lagrangian depending on its total torsion. We focus on two important families of spacetimes, Generalized Robertson-Walker and standard static spacetimes. For the former, we show that such trajectories are those with constant curvature. For the latter we also obtain a characterization in terms of the curvature of the trajectory, but in this case measured with an appropriate conformal metric.

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“…Regarding the Lorentzian setting, whereas some studies take place in Minkowski [8] or constant curvature spacetimes [3,9], the authors of [2] analyzed the dynamics of the Lagrangian whose only term is linear in the first curvature of the worldline in the family of threedimensional generalized Robertson-Walker spacetimes (GRWs), restricting attention to solutions fully contained in spacelike slices. The corresponding extension to four-dimensional GRWs was presented in [7].…”

Section: Introductionmentioning

confidence: 99%

On the dynamics of relativistic particles with torsion in warped product spacetimes

Herrera¹,

Rosa²,

Rubio³

2022

J. Phys. A: Math. Theor.

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In this work, we study spacelike trajectories of a relativistic particle model whose Lagrangian is given by the total torsion on its worldline. Once the ﬁeld equations are established, we investigate the trajectories in two physically relevant families of four-dimensional spacetimes: Generalized Robertson-Walker and standard static spacetimes. For the former we obtain both, characterization as well as non-existence results for Frenet curves of diﬀerent orders, which are the curves capable of modeling trajectories. For standard static spacetimes, we obtain a full characterization of the critical curves and present an example in which we can explicitly compute non-trivial trajectories.

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Massless particles in generalized Robertson–Walker 4-spacetimes

Cited by 6 publications

References 14 publications

Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric

Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric

Relativistic particles with torsion in three-dimensional non-vacuum spacetimes

On the dynamics of relativistic particles with torsion in warped product spacetimes

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