$f(R)$ global monopole revisited

Abstract

In this paper the $f(R)$ global monopole is reexamined. We provide an exact solution for the modified field equations in the presence of a global monopole for regions outside its core, generalizing previous results. Additionally, we discuss some particular cases obtained from this solution. We consider a setup consisting of a possible Schwarzschild black hole that absorbs the topological defect, giving rise to a static black hole endowed with a monopole's charge. Besides, we demonstrate how the asymptotic behavior of the Higgs field far from the monopole's core is shaped by a class of spacetime metrics which includes those ones analyzed here. In order to assess the gravitational properties of this system, we analyse the geodesic motion of both massive and massless test particles moving in the vicinity of such configuration. For the material particles we set the requirements they have to obey in order to experience stable orbits. On the other hand, for the photons we investigate how their trajectories are affected by the gravitational field of this black hole.

arXiv comment16 pages, 1 figure and 1 table. Minor changes to match published version in EPJC

References in corpus (23)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) Gravity and scalar-tensor theory
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• Solar system effects in Schwarzschild--de Sitter spacetime
• Standard Clocks, Orbital Precession and the Cosmological Constant
• Solar and stellar system tests of the cosmological constant
• Schwarzschild black hole with global monopole charge
• Effect of the cosmological constant on the bending of light and the cosmological lens equation
• Gravitational deflection of light in the Schwarzschild -de Sitter space time
• The analytical discussion on strong gravitaional lensing for a gravitational source with a $f(R)$ global monopole
• Light Bending as a Probe of the Nature of Dark Energy
• Global Monopoles in Brans-Dicke Theory of Gravity
• The thermodynamic quantities of a black hole with an $f(R)$ global monopole
• Gravitational Field of a Global Monopole in a Modified Gravity
• Comparing scalar-tensor gravity and f(R)-gravity in the Newtonian limit
• On the motion of a test particle around a global monopole in a modified gravity
• The Cosmological Constant and the Gravitational Light Bending
• de Sitter/ Anti-de Sitter global monopoles
• Cosmological Constant, Conical Defect and Classical Tests of General Relativity
• Scalar and spinor quasinormal modes of an $f(R)$ global monopole

Cited by in corpus (20)

• Relativistic quantum oscillators in the global monopole spacetime
• Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global Monopole Space-Time with External Potential and AB-effect
• Global Monopole in Palatini f(R) gravity
• Gravitational field of global monopole within the Eddington-inspired Born-Infeld theory of gravity
• $P-v$ criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics
• Nonlinear $\sigma$-models in the Eddington-inspired Born-Infeld Gravity
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Thermodynamics and phase transition of charged AdS black holes with a global monopole
• On the Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu-Yang magnetic monopole
• Morris-Thorne-type wormhole with global monopole charge and the energy conditions
• Klein-Gordon particles in a quasi-pointlike global monopole spacetime and a Wu-Yang magnetic monopole: invariance and isospectrality
• Nonminimal global monopole
• Rotational and inverse square potential effects on harmonic oscillator confined by flux field in a space-time with screw dislocation
• The neutrino pair annihilation ($\nu \bar{\nu }⟶e^{-}{e}^{+}$)around a massive source with an $f(R)$ global monopole
• On the Schwarzschild-Anti-de Sitter black hole with an f(R) global monopole
• KG-oscillators in Eddington-inspired Born-Infeld gravity: Wu-Yang magnetic monopole and Ricci scalar curvature effects
• Shadow analysis of an approximate rotating black hole solution with weakly coupled global monopole charge
• Null geodesics around a black hole with weakly coupled global monopole charge
• Global Monopole metric in 2+1-dimensions
• Non-relativistic quantum particles interacting with pseudoharmonic-type potential under flux field in a topological defect geometry