Cusp singularities in f(R) gravity: pros and cons
Abstract
We investigate cusp singularities in f(R) gravity, especially for Starobinsky and Hu-Sawicki dark energy models. We illustrate that, by using double-null numerical simulations, a cusp singularity can be triggered by gravitational collapses. This singularity can be cured by adding a quadratic term, but this causes a Ricci scalar bump that can be observed by an observer outside the event horizon. Comparing with cosmological parameters, it seems that it would be difficult to see super-Planckian effects by astrophysical experiments. On the other hand, at once there exists a cusp singularity, it can be a mechanism to realize a horizon scale curvature singularity that can be interpreted by a firewall.
- Publication:
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Journal of Cosmology and Astroparticle Physics
- Pub Date:
- October 2015
- DOI:
- 10.1088/1475-7516/2015/10/022
- arXiv:
- arXiv:1506.06713
- Bibcode:
- 2015JCAP...10..022C
- Keywords:
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- General Relativity and Quantum Cosmology;
- Astrophysics - Cosmology and Nongalactic Astrophysics;
- High Energy Physics - Theory
- E-Print:
- 19 pages, 11 figures