Null paths on a toroidal topological black hole in conformal Weyl gravity

Villanueva, J. R.; Tapia, Francisco Herrera; Molina, Martín; Olivares, Manuel

doi:10.1140/epjc/s10052-018-6328-5

Cited by 26 publications

(19 citation statements)

References 56 publications

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“…In Ref. [41], the motion of massless particles on the background of a toroidal topological black hole is analyzed in the context of conformal Weyl gravity. Null geodesics are found analytically in terms of the Jacobi elliptic functions.…”

Section: Introductionmentioning

confidence: 99%

Inhomogeneous spacetimes in Weyl integrable geometry with matter source

2020

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We investigate the existence of inhomogeneous exact solutions in Weyl Integrable theory with a matter source. In particular, we consider the existence of a dust fluid source while for the underlying geometry we assume a line element which belongs to the family of silent universes. We solve explicitly the field equations and we find the Szekeres spacetimes in Weyl Integrable theory. We show that only the isotropic family can describe inhomogeneous solutions where the LTB spacetimes are included. A detailed analysis of the dynamics of the field equations is given where the past and future attractors are determined. It is interesting that the Kasner spacetimes can be seen as past attractors for the gravitation models, while the unique future attractor describes the Milne universe similar with the behaviour of the gravitational model in the case of General Relativity.

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Section: Introductionmentioning

confidence: 99%

Inhomogeneous spacetimes in Weyl integrable geometry with matter source

2020

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“…In order to obtain a description of the allowed motion in the exterior spacetime of the black hole, we use the standard Lagrangian formalism [29][30][31], so that the corresponding Lagrangian associated with the line element (2) reads…”

Section: The Null Structurementioning

confidence: 99%

Null geodesics in five-dimensional Reissner–Nordström anti-de Sitter black holes

et al. 2021

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The study of the motion of photons around massive bodies is one of the most useful tools to find the geodesic structure associated with said gravitational source. In the present work, different possible paths projected in an invariant hyperplane are investigated, considering a five-dimensional Reissner–Nordström anti-de Sitter black hole. Also, we study some observational tests, such as the bending of light and the Shapiro time delay effect. Mainly, we found that the motion of photons follows the hippopede of a Proclus geodesic, which is a new type of trajectory of the second kind, the Limaçon of Pascal being their analog geodesic in four-dimensional Reissner–Nordström anti-de Sitter black hole.

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“…In order to investigate motion of test particles on a static scale-dependent BTZ black hole background using the standard Lagrangian procedure [53][54][55], we write the Lagrangian associated to the line element (9) which, for photons, reads…”

Section: Null Geodesicsmentioning

confidence: 99%

Photon trajectories on a first order scale-dependent static BTZ black hole

Fathi

Rincón

Villanueva

2020

Class. Quantum Grav.

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In this paper we study the motion of massless particles on a static BTZ black hole background in the context of scale-dependent gravity, which is characterized by the running parameter ǫ. Thus, by using standard methods we obtain the equation of motions and then analytic solutions are found. The relevant non-trivial differences appear when we compare our solution against the classical counterpart.

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Null paths on a toroidal topological black hole in conformal Weyl gravity

Cited by 26 publications

References 56 publications

Inhomogeneous spacetimes in Weyl integrable geometry with matter source

Inhomogeneous spacetimes in Weyl integrable geometry with matter source

Null geodesics in five-dimensional Reissner–Nordström anti-de Sitter black holes

Photon trajectories on a first order scale-dependent static BTZ black hole

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