On a Class of Exact Arbitrarily Differentiable de Sitter Cores with Kerr Exteriors: Possible gravastar or regular black hole mimickers

Abstract

Within the paradigm of non-perturbative Einstein gravity we study continuous curvature manifolds which possess de Sitter interiors and Kerr exteriors. These manifolds could represent the spacetime of rotating gravastars or other similar black hole mimickers. The scheme presented here allows for a $C^n$ metric transition from the exactly de Sitter interior to the exactly Kerr exterior, with $n$ arbitrarily large. Generic properties that such models must possess are discussed, such as the changing of the topology of the ergosphere from $S^2$ to $S^1\times S^1$. It is shown how in the outer layers of the transition region (the ``atmosphere'' as it is often called in astrophysics) the dominant/weak and strong energy conditions can be respected. However, much like in the case of its static spherically symmetric gravastar counterpart, there must be some assumptions imposed in the atmosphere for the energy conditions to hold. These assumptions turn out to not be severe. The class of manifolds presented here are expected to possess all the salient features of the fully generic case. Strictly speaking, a number of the results are also applicable to the locally anti-de Sitter core scenario, although we focus on the case of a positive cosmological constant.

31 pages. Version 2 is an extended version of the original with more analysis at the junctions and the inclusion of a study of null geodesics and matter properties in the outer layers. Matches version accepted for publication in IJMPD

References in corpus (18)

• Ergoregion instability of ultra-compact astrophysical objects
• The Kerr Metric
• Charged gravastars admitting conformal motion
• Can accretion disk properties distinguish gravastars from black holes?
• Gravastar Shadows
• On the ergoregion instability in rotating gravastars
• Tidal deformability and I-Love-Q relations for gravastars with polytropic thin shells
• Gravastar energy conditions revisited
• Instability of hyper-compact Kerr-like objects
• Stability of Charged Thin-Shell Gravastars with Quintessence
• Charged Gravastars with Conformal Motion in f(R,T) Gravity
• Zero mass limit of Kerr spacetime is a wormhole
• Testing the Kerr black hole hypothesis with GRS 1716-249 by combining the continuum-fitting and the iron-line methods
• Gravastar in the Framework of Symmetric Teleparallel Gravity
• Fermion Soliton Stars with Asymmetric Vacua
• Topical Collection: Testing the Kerr spacetime with gravitational-wave and electromagnetic observations
• The problem of ultracompact rotating gravastars
• Stability of regular black holes and other compact objects with a charged de Sitter core and a surface matter layer