Non-symmetric wormholes and localized Big Rip singularities in Einstein-Weyl gravity

Abstract

The inclusion of the Weyl squared term in the gravitational action is one of the most simple, yet non trivial modifications to General Relativity at high energies. Nevertheless the study of the spherically-symmetric vacuum solutions of this theory has received much attention only in recent times. A new type of asymptotically flat wormhole which does not match symmetrically at a finite radius with another sheet of the spacetime is presented. The outer spacetime is characterized by a newtonian potential with a Yukawa correction, and has gravitational properties that can be arbitrarily close to the ones of a Schwarzschild black hole. The internal spacetime instead possesses a singularity at $r=\infty$ with the topology of a 2-dimensional sphere. The expansion scalar of geodesics reaching this singularity diverges in a finite amount of proper time, with a striking resemblance with the future singularity of the Big Rip cosmological scenario. In terms of the external Yukawa hair and mass $M$, these new wormholes fill a large region of the two-dimensional parameter space of physical solutions with $M>0$. On the contrary black holes, both of Schwarzschild and non-Schwarzschild nature, are confined on a line. We argue that this type of wormholes are ideal black hole mimickers.

arXiv comment11 pages, 5 figures

References in corpus (22)

• Extended Theories of Gravity
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• The geometry of photon surfaces
• Further stable neutron star models from f(R) gravity
• Asymptotic safety in higher-derivative gravity
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• Black Holes in Higher-Derivative Gravity
• Stellar structure models in modified theories of gravity: lessons and challenges
• Taming perturbative divergences in asymptotically safe gravity
• Spherically Symmetric Solutions in Higher-Derivative Gravity
• On the quantum field theory of the gravitational interactions
• The Ultraviolet Behavior Of Quantum Gravity
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Explicit black hole solutions in higher-derivative gravity
• Black holes and other exact spherical solutions in Quadratic Gravity
• Characterizing black hole metrics in quadratic gravity
• A Safe Beginning for the Universe?
• Schwarzschild geometry counterpart in semiclassical gravity
• Ineffective Higher Derivative Black Hole Hair
• The gravitational field of a star in quadratic gravity
• Static wormholes in vacuum for conformal gravity
• Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes

Cited by in corpus (5)

• Formation and evaporation of quantum black holes from the decoupling mechanism in quantum gravity
• Towards effective actions for the continuum limit of spin foams
• Probing Quadratic Gravity with the Event Horizon Telescope
• The phase diagram of Einstein-Weyl gravity
• On the stability of scale-invariant black holes