Towards conformally flat, non-Kasner vacuum solution in infinite derivative gravity

2018/03/18 by Alexey S. Koshelev, João Marto, Anupam Mazumdar
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Geometry #Gravitation #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quadratic equation #Quantum mechanics #Singularity #Spacetime #Vacuum solution #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1088/1475-7516/2019/02/020

8 pages. arXiv admin note: substantial text overlap with arXiv:1803.00309

arxiv created 2018/03/18 · openalex publication_date 2019/02/12 · arxiv updated 2019/02/20 · openalex created_date 2021/02/01 · openalex updated_date 2026/08/01

Abstract

In this paper, we will show that the equations of motion of the quadratic in curvature, ghost free , infinite derivative theory of gravity will not permit an anisotropic collapse of a homogeneous Universe such as Kasner-type vacuum solution. However, such a solution is shown to be admissible in the local quadratic curvature gravity. Therefore pointing towards the crucial role played by the non-local infinite derivatives. We will show that it is possible to obtain conformally flat and singularity-free spacetime metrics.

Citations

• Schwarzschild 1/r-singularity is not permissible in ghost free quadratic curvature infinite derivative gravity
• Towards LHC physics with nonlocal Standard Model
• The Large Scale Structure of Space-Time
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• Gravitational Collapse and Space-Time Singularities
• Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity
• Geometrical Theorems on Einstein's Cosmological Equations
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