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      Spherical collapse for the Starobinsky R^2 model

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          Abstract

          Spherical scalar collapse for the Starobinsky R^2 model is simulated to explore the black hole and singularity formation scenarios. This model was obtained by considering quantum-gravitational effects and would admit some cases of singularity-free cosmological spacetimes. It is found, however, that in gravitational collapse situations, when the matter field is strong enough, a black hole including a central singularity can be formed. The nature of this singularity is examined, and it is seen that near the central singularity gravity dominates the repulsion from the R^2 term, so that in some circumstances the Ricci scalar R is pushed to infinity by gravity. Therefore, the semi-classical effects as included here do not avoid the singularity problem in general relativity.

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          Journal
          2015-11-19
          2015-11-29
          10.1103/PhysRevD.94.044063
          1511.06161

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          8 pages, 5 figures. The Introduction section is expanded, and more references are added
          gr-qc

          General relativity & Quantum cosmology

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