Global Monopole in Palatini f(R) gravity

Abstract

We consider the space-time metric generated by a global monopole in an extension of General Relativity (GR) of the form $f(\mathcal{R})=\mathcal{R}-\lambda {\mathcal{R}}^2$. The theory is formulated in the metric-affine (or Palatini) formalism and exact analytical solutions are obtained. For $\lambda <0$, one finds that the solution has the same characteristics as the Schwarzschild black hole with a monopole charge in Einstein's GR. For $\lambda >0$, 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 $\lambda =0$ and also at the asymptotic far limit. The angular deflection of light in this spacetime in the weak field regime is also calculated.

arXiv comment15 pages, version accepted to PRD

References in corpus (39)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Modified Gravity and Cosmology
• f(R) theories
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Testing General Relativity with Present and Future Astrophysical Observations
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• A measurement by BOOMERANG of multiple peaks in the angular power spectrum of the cosmic microwave background
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Limit to General Relativity in f(R) theories of gravity
• Born-Infeld inspired modifications of gravity
• Wormholes and nonsingular space-times in Palatini $f(R)$ gravity
• Geonic black holes and remnants in Eddington-inspired Born-Infeld gravity
• The dark side of gravity: Modified theories of gravity
• Nonsingular Black Holes in $f(R)$ Theories
• Reissner-Nordström black holes in extended Palatini theories
• Geodesic completeness in a wormhole spacetime with horizons
• Dynamical Aspects of Generalized Palatini Theories of Gravity
• What is a singular black hole beyond General Relativity?
• Schwarzschild black hole with global monopole charge
• Nonsingular black holes, wormholes, and de Sitter cores from anisotropic fluids
• Gravitational lensing by Reissner-Nordström black holes with topological defects
• Born-Infeld-$f(R)$ gravity
• Semiclassical geons as solitonic black hole remnants
• Gravitational field of global monopole within the Eddington-inspired Born-Infeld theory of gravity
• $f(R)$ global monopole revisited
• The analytical discussion on strong gravitaional lensing for a gravitational source with a $f(R)$ global monopole
• 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
• Impact of curvature divergences on physical observers in a wormhole space-time with horizons
• On the motion of a test particle around a global monopole in a modified gravity
• The global monopole spacetime and its topological charge
• Classical defects in higher-dimensional Einstein gravity coupled to nonlinear $\sigma$-models
• Higher-dimensional black holes with Dirac-Born-Infeld (DBI) global defects

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• On the Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu-Yang magnetic monopole
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• An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
• Higher-dimensional topologically charged traversable defect wormhole with non-exotic matter
• 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
• Geometrical deformation of brane matter field within $f(R,Q,P)$ gravity
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