Anisotropic singularities in chiral modified gravity

作者：Herfray Yannick^*; Krasnov Kirill; Shtanov Yuri

来源：Classical and Quantum Gravity, 2016, 33(23): 235001.

DOI：10.1088/0264-9381/33/23/235001

• modified gravity
• spacetime singularities
• self-duality

In four spacetime dimensions, there exists a special infinite-parameter family of chiral modified gravity theories. All these theories describe just two propagating polarisations of the graviton. General relativity (GR) with an arbitrary cosmological constant is the only parity-invariant member of this family. We review how these modified gravity theories arise within the framework of pure-connection formulation. We introduce a new convenient parametrisation of this family of theories by using a certain set of auxiliary fields. Modifications of GR can be arranged so as to become important in regions with large Weyl curvature, while the behaviour is indistinguishable from GR where Weyl curvature is small. We show how the Kasner singularity of GR is resolved in a particular class of modified gravity theories of this type, leading to solutions in which the fundamental connection field is regular all through the spacetime. There arises a new asymptotically De. Sitter region 'behind' the would-be singularity, the complete solution thus being of a bounce type.

• 出版日期2016-12-8