Abstract
We consider the collapse of a charged radiation fluid in a Planck-suppressed quadratic extension of General Relativity (GR) formulated à la Palatini. We obtain exact analytical solutions that extend the charged Vaidya-type solution of GR, which allows to explore in detail new physics at the Planck scale. Starting from Minkowski space, we find that the collapsing fluid generates wormholes supported by the electric field. We discuss the relevance of our findings in relation to the quantum foam structure of space–time and the meaning of curvature divergences in this theory.
Highlights
An outstanding question in quantum gravitational physics is whether large metric fluctuations at the Planck scale may induce a change in topology
The notion of space-time foam is generally accepted, in that this picture leads to topology-changing quantum amplitudes and to interference effects between different space-time topologies [4], these possibilities have met with some disagreement [5]
The dynamical generation of wormholes outlined above, in the context of charged fluids in quadratic Palatini gravity, differs radically in nature relative to the construction of general relativistic traversable wormholes, with the idealization of impulsive phantom radiation considered in the literature [9
Summary
N. Lobo,1, ∗ Jesus Martinez-Asencio, Gonzalo J. Rubiera-Garcia4, ‡ 1Centro de Astronomia e Astrofısica da Universidade de Lisboa, Campo Grande, Ed. C8 1749-016 Lisboa, Portugal 2Departamento de Fısica Aplicada, Facultad de Ciencias, Fase II, Universidad de Alicante, Alicante E-03690, Spain §. We consider the collapse of a charged radiation fluid in a Planck-suppressed quadratic extension of General Relativity (GR) formulateda la Palatini. We obtain exact analytical solutions that extend the charged Vaidya-type solution of GR, which allows to explore in detail new physics at the Planck scale. Starting from Minkowski space, we find that the collapsing fluid generates wormholes supported by the electric field. We discuss the relevance of our findings in relation to the quantum foam structure of space-time and the meaning of curvature divergences in this theory.
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