Schwarzschild Like Solution with Global Monopole in Bumblebee Gravity

Güllü, İbrahim; Овгун, Али

doi:10.20944/preprints202012.0142.v1

Cited by 4 publications

(1 citation statement)

References 35 publications

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“…The deflection of a massive, charged particle by a novel four-dimensional charged Einstein-Gauss-Bonnet black hole is examined by Li et al in [14] based on the Jacobi metric method. Gullu and Övgün have tested the effect of the global monopole and the bumblebee fields causing the spontaneous Lorentz symmetry-breaking [15]. The authors of [16] have investigated the gravitational lensing by asymptotically flat black holes in the framework of Horndeski theory in weak field limits using the Gauss-Bonnet theorem to find the deflection angle in vacuum and plasma medium.…”

Section: Introductionmentioning

confidence: 99%

Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

2021

Turk J Phys

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In this review, various researches on finding the bending angle of light deflected by a massive gravitating object which regard the Gauss-Bonnet theorem as the premise have been revised. Primarily, the Gibbons and Werner method is studied apropos of the gravitational lensing phenomenon in the weak field limits. Some exclusive instances are deliberated while calculating the deflection angle, beginning with the finite-distance corrections on nonasymptotically flat spacetimes. Effects of plasma medium is then inspected to observe its contribution to the deflection angle. Finally, the Jacobi metric is explored as an alternative method, only to arrive at similar results. All of the cases are probed in three constructs, one as a generic statement of explanation, one for black holes, and one for wormholes, so as to gain a perspective on every kind of influence.

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Section: Introductionmentioning

confidence: 99%

Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

2021

Turk J Phys

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Bumblebee field as a source of cosmological anisotropies

Maluf¹,

Neves²

2021

J. Cosmol. Astropart. Phys.

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In this work, a bumblebee field is adopted in order to generate cosmological anisotropies. For that purpose, we assume a Bianchi I cosmology, as the background geometry, and a bumblebee field coupled to it. Bumblebee models are examples of a mechanism for the Lorentz symmetry violation by assuming a nonzero vacuum expectation value for the bumblebee field. When coupled to the Bianchi I geometry, which is not in agreement with a cosmological principle, the bumblebee field plays the role of a source of anisotropies and produces a preferred axis. Thus, a fraction of the cosmic anisotropies would come from the Lorentz symmetry violation. In the last part of the article, we try to assume an upper bound on the bumblebee field using the quadrupole and octopole moments of the cosmic microwave background radiation.

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Constraint on parameters of a rotating black hole in Einstein-bumblebee theory by quasi-periodic oscillations

2022

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We have studied quasi-periodic oscillations frequencies in a rotating black hole with Lorentz symmetry breaking parameter in Einstein-bumblebee gravity by relativistic precession model. We find that in the rotating case with non-zero spin parameter both of the periastron and nodal precession frequencies increase with the Lorentz symmetry breaking parameter, but the azimuthal frequency decreases. In the non-rotating black hole case, the nodal precession frequency disappears for arbitrary Lorentz symmetry breaking parameter. With the observation data of GRO J1655-40, XTE J1550-564, and GRS 1915+105, we find that the constraint on the Lorentz symmetry breaking parameter is more precise with data of GRO J1655-40 in which the best-fit value of the Lorentz symmetry breaking parameter is negative. This could lead to that the rotating black hole in Einstein-bumblebee gravity owns the higher Hawking temperature and the stronger Hawking radiation, but the lower possibility of exacting energy by Penrose process. However, in the range of $$1 \sigma $$ 1 σ , we also find that general relativity remains to be consistent with the observation data of GRO J1655-40, XTE J1550-564 and GRS 1915+105.

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Schwarzschild Like Solution with Global Monopole in Bumblebee Gravity

Cited by 4 publications

References 35 publications

Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

Bumblebee field as a source of cosmological anisotropies

Constraint on parameters of a rotating black hole in Einstein-bumblebee theory by quasi-periodic oscillations

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