Does violation of Cosmic No-hair Conjecture guarantee the existence of Wormhole?

Abstract

The present work investigates the interrelation between the validity (or violation) of the cosmic no-hair conjecture and the existence (or non-existence) of wormholes, both in Einstein's Gravity and in modified gravity theories. It is found that the existence of wormholes implies a violation of the cosmic no-hair conjecture, and the validity of the cosmic no-hair conjecture implies the non-existence of wormholes but not the reverse way both in Einstein's Gravity and in modified gravity theories. We will also re-visit the gravitational entropy predictions of the wormhole and show how they are connected.

References in corpus (5)

• Modelling wormholes in $f(R,T)$ gravity
• Wormhole solutions in symmetric teleparallel gravity
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Relativistic Bose--Einstein condensates thin-shell wormholes
• Wormhole dynamics in spherical symmetry

Cited by in corpus (1)

• Wormhole Geometries Supported by Strange Quark Matter and Phantom-like Generalized Chaplygin gas within $f(Q)$ Gravity