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RESEARCH PRODUCT

Global Monopole in Palatini f(R) gravity

P. J. PorfírioJ. R. NascimentoA. Yu. PetrovA. R. SoaresGonzalo J. Olmo

subject

PhysicsGeodesicSpacetime010308 nuclear & particles physicsGeneral relativitySpace timeMagnetic monopoleFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Lambda01 natural sciencesGeneral Relativity and Quantum CosmologyGeneral Relativity and Quantum Cosmology0103 physical sciencesf(R) gravityWormhole010306 general physicsMathematical physics

description

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 $\lambda0$, instead, the metric is more closely related to the Reissner-Nordstr\"{o}m 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.

yearjournalcountryeditionlanguage
2018-12-02
https://dx.doi.org/10.48550/arxiv.1812.00471