The singularity in mimetic Kantowski-Sachs cosmology
arXiv:2002.11658 · doi:10.1088/1475-7516/2020/07/018
Abstract
The dynamics of the vacuum Kantowski-Sachs space-time are studied in the so-called limiting curvature mimetic gravity theory. It is shown that in this theory the vacuum Kantowski-Sachs space-time is always singular. While the departures from general relativity due to the limiting curvature mimetic theory do provide an upper bound on the magnitude of the expansion scalar, both its rate of oscillations and the magnitude of the directional Hubble rates increase without bound and cause curvature invariants to diverge. Also, since the radial scale factor does not vanish in finite (past) time, in this particular theory the Kantowski-Sachs space-time cannot be matched to a null black hole event horizon and, therefore, does not correspond to the interior of a static and spherically symmetric black hole.
arXiv comment24 pages + appendices and references, 10 figures; v2: matches version accepted for publication in JCAP
References in corpus (26)
- Quantum geometry and the Schwarzschild singularity
- Mimetic Dark Matter
- Loop quantum black hole
- A Cosmological Theory without Singularities
- Classification of cosmological milestones
- Nonsingular Black Hole
- Resolving Cosmological Singularities
- Caustic avoidance in Horava-Lifshitz gravity
- Instabilities in Mimetic Matter Perturbations
- Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective
- Living with ghosts in Horava-Lifshitz gravity
- Effective loop quantum cosmology as a higher-derivative scalar-tensor theory
- The loop quantum cosmology bounce as a Kasner transition
- Cosmological perturbations and stability of nonsingular cosmologies with limiting curvature
- Complete conformal classification of the Friedmann-Lemaitre-Robertson-Walker solutions with a linear equation of state
- On the canonical structure of general relativity with a limiting curvature and its relation to loop quantum gravity
- Gravitational focusing of Imperfect Dark Matter
- On singularity-resolution in mimetic gravity
- Limiting curvature mimetic gravity and its relation to Loop Quantum Cosmology
- A generalized Kasner transition for bouncing Bianchi I models in modified gravity theories
- Is limiting curvature mimetic gravity an effective polymer quantum gravity?
- Reconstruction of mimetic gravity in a non-singular bouncing universe from quantum gravity
- Limiting curvature mimetic gravity for group field theory condensates
- Singularities in Spherically Symmetric Solutions with Limited Curvature Invariants
- A quantum gravity extension to the Mixmaster dynamics
- Non-flat Universes and Black Holes in Asymptotically Free Mimetic Gravity
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- A nonsingular, anisotropic universe in a black hole with torsion and particle production
- Topological black holes in mimetic gravity
- Exact Kantowski-Sachs spacetimes in Einstein-Aether Scalar field theory
- Structure formation in mimetic gravity
- An anisotropic Kantowski-Sachs universe with radiation, dust and a phantom fluid
- Singularity resolution and inflation from an infinite tower of regularized curvature corrections
- Ascribing quantum system to Schwarzschild spacetime with naked singularity
- Theories with limited extrinsic curvature and a nonsingular anisotropic universe
- Multi-field Mimetic Gravity
- Physical Hamiltonian for mimetic gravity
- Isotropic stellar model in mimetic theory
- Constraining the rotating Simpson-Visser spacetime from the observed quasi-periodic oscillations in black holes
- Matter production effects and interacting scenario within a reconstructed mimetic cosmology for late times