Resolving Curvature Singularities in Holomorphic Gravity

Details Resolving Curvature Singularities in Holomorphic Gravity Resolving Curvature Singularities in Holomorphic Gravity

2008-05-30

arxiv.org/abs/0805.4731v1

Found.Phys.41:1597-1633,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 7 figures

Scientific paper

10.1007/s10701-011-9570-3

We formulate holomorphic theory of gravity and study how the holomorphy symmetry alters the two most important singular solutions of general relativity: black holes and cosmology. We show that typical observers (freely) falling into a holomorphic black hole do not encounter a curvature singularity. Likewise, typical observers do not experience Big Bang singularity. Unlike Hermitian gravity \cite{MantzHermitianGravity}, Holomorphic gravity does not respect the reciprocity symmetry and thus it is mainly a toy model for a gravity theory formulated on complex space-times. Yet it is a model that deserves a closer investigation since in many aspects it resembles Hermitian gravity and yet calculations are simpler. We have indications that holomorphic gravity reduces to the laws of general relativity correctly at large distance scales.

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