Nonsingular Black Holes in $f(R)$ Theories

Abstract

We study the structure of a family of static, spherically symmetric space-times generated by an anisotropic fluid and governed by a particular type of $f(R)$ theory. We find that for a range of parameters with physical interest, such solutions represent black holes with the central singularity replaced by a finite size wormhole. We show that time-like geodesics and null geodesics with nonzero angular momentum never reach the wormhole throat due to an infinite potential barrier. For null radial geodesics, it takes an infinite affine time to reach the wormhole. This means that the resulting space-time is geodesically complete and, therefore, nonsingular despite the generic existence of curvature divergences at the wormhole throat.

Universe special issue: Open questions in black hole physics

References in corpus (13)

• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources
• Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
• Geodesic completeness in a wormhole spacetime with horizons
• Dynamical Aspects of Generalized Palatini Theories of Gravity
• Born-Infeld gravity and its functional extensions
• Crystal clear lessons on the microstructure of space-time and modified gravity
• Little Rip, $\Lambda$CDM and singular dark energy cosmology from Born-Infeld-$f(R)$ gravity
• Asymptotically anomalous black hole configurations in gravitating nonlinear electrodynamics
• Avoiding the Big Bang Singularity with Palatini f(R) Theories

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