On the Motion of a Test Particle Around a Global Monopole in a Modified Gravity

Caramês, Thiago R. P.; Mello, E. R. Bezerra de; Guimarães, M. E. X.

doi:10.1142/s0217732312501775

Cited by 27 publications

(53 citation statements)

References 20 publications

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“…In [13] the same methodology was used but in the context of f (R) theories. The extension of GR used in [13] motivated a number of other works [14][15][16][17]. In [18], the authors solve exactly the model proposed in [13] generalizing previous results.…”

Section: Introductionmentioning

confidence: 90%

Global monopole in Palatinif(R)gravity

et al. 2019

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We consider the space-time metric generated by a global monopole in an extension of General Relativity (GR) of the form f (R) = R − λR 2 . The theory is formulated in the metric-affine (or Palatini) formalism and exact analytical solutions are obtained. For λ < 0, one finds that the solution has the same characteristics as the Schwarzschild black hole with a monopole charge in Einstein's GR. For λ > 0, instead, the metric is more closely related to the Reissner-Nordström metric with a monopole charge and, in addition, it possesses a wormhole-like structure that allows for the geodesic completeness of the space-time. Our solution recovers the expected limits when λ = 0 and also at the asymptotic far limit. The angular deflection of light in this spacetime in the weak field regime is also calculated. *

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Section: Introductionmentioning

confidence: 90%

Global monopole in Palatinif(R)gravity

et al. 2019

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“…Of course, we are able to calculate the components (38) of the monopole energymomentum tensor using the result (39) and (40). But for simple estimation we can be limited by an approximation:…”

Section: The Hedgehog's Structure Functionsmentioning

confidence: 99%

“…In the case of Refs. [1,[36][37][38][39][40] scalar curvature R is constant, and Eq. (7) comes down to the Einstein's equation…”

Section: The Solution With Magnetic Field Contributionmentioning

confidence: 99%

Gravi-weak unification and the black-hole-hedgehog’s solution with magnetic field contribution

Sidharth

Das

Лаперашвили

et al. 2018

Int. J. Mod. Phys. A

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In the present paper, we investigated the gravitational black-hole-hedgehog's solution with magnetic field contribution in the framework of the f(R)-gravity described by the Gravi-Weak unification model. Assuming the Multiple Point Principle (MPP), we considered the existence of the two degenerate vacua of the Universe: the first Electroweak (EW) vacuum with v 1 ≈ 246 GeV ("true vacuum"), and the second Planck scale ("false vacuum") with v 2 ∼ 10 18 GeV. In these vacua, we investigated different topological defects. The main aim of this paper is an investigation of the black-hole-hedgehog configurations as defects of the "false vacuum". We have obtained the solution which corresponds to a global monopole, that has been "swallowed" by the black-hole with core mass M BH ≈ 3.65 × 10 18 GeV and radius δ ≈ 6 · 10 −21 GeV −1 . We investigated the metric in the vicinity of the black-holehedgehog and estimated its horizon radius: r h ≈ 1.14δ. We have considered the phase transition from the "false vacuum" to the "true vacuum" and confirmed the stability of the EW-vacuum.

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“…The former deals with modification of the Higgs lagrangian, mostly with non-canonical kinetic term [6][7][8]. The latter looks for spacetime geometry around global monopole, mostly in the framework of f (R) theories of gravity [4,9,10]. In this f (R) gravity framework, thermodynamical properties of static black hole with global monopole are investigated in [11,12], solutions for the corresponding rotating black hole is studied in [13], while astrophysical signature (for example, strong gravitational lensing) of such massive monopole is discussed in [14].…”

Section: Introductionmentioning

confidence: 99%

Gravitational field of global monopole within the Eddington-inspired Born-Infeld theory of gravity

Lambaga

Ramadhan

2018

Eur. Phys. J. C

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Within the framework of the recent Eddingtoninspired Born-Infeld (EiBI) theory we study gravitational field around an SO(3) global monopole. The solution also suffers from the deficit solid angle as in the Barriola-Vilenkin metric but shows a distinct feature that cannot be transformed away unless in the vanishing EiBI coupling constant, κ. When seen as a black hole eating up a global monopole, the corresponding Schwarzschild horizon is shrunk by κ. The deficit solid angle makes the space is globally not Euclidean, and to first order in κ (weak-field limit) the deflection angle of light is smaller than its Barriola-Vilenkin counterpart.

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On the Motion of a Test Particle Around a Global Monopole in a Modified Gravity

Abstract: In this paper we suggest an approach to analyse

Cited by 27 publications

References 20 publications

Global monopole in Palatinif(R)gravity

Global monopole in Palatinif(R)gravity

Gravi-weak unification and the black-hole-hedgehog’s solution with magnetic field contribution

Gravitational field of global monopole within the Eddington-inspired Born-Infeld theory of gravity

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