Linear potentials in galaxy halos by Asymmetric Wormholes

TL;DR

This paper presents a spherically symmetric solution involving asymmetric wormholes that produce linear gravitational potentials, potentially explaining galactic rotation curves and connecting universes with different vacuum energies.

Contribution

It introduces a new wormhole solution with linear potential terms applicable to galactic dynamics and cosmology, linking wormhole parameters to observable galactic and cosmological features.

Findings

Linear potential coefficient relates to wormhole mass and cosmological constant

Wormholes connect universes with different vacuum energy densities

Results may extend to other theories like k-essence

Abstract

A spherically symmetric space-time solution for a diffusive two measures theory is studied. An asymmetric wormhole geometry is obtained where the metric coefficients have a linear term for galactic distances and the analysis of Mannheim and collaborators, can then be used to describe the galactic rotation curves. For cosmological distances, a de-Sitter space-time is realized. Centre of gravity coordinates for the wormhole is introduced which are the most suitable for the collective motion of a wormhole. The wormholes connect universes with different vacuum energy densities which may represent different universes in a "landscape scenario". The metric coefficients depend on the asymmetric wormhole parameters. The coefficient of the linear potential is proportional to both the mass of the wormhole and the cosmological constant of the observed universe. Similar results are also expected in other theories like $k$-essence theories, that may support wormholes.