Theoretical Search for Gravitational Bound States of Tachyons

TL;DR

This paper explores the possibility of gravitationally bound tachyon states, proposing a model that allows for such orbits and potentially explaining dark matter phenomena, with implications for galaxy rotation curves and black hole environments.

Contribution

It introduces a new anisotropic pressure model in General Relativity that enables bound tachyon orbits, providing a novel theoretical framework for dark matter and astrophysical phenomena.

Findings

Bound tachyon orbits are theoretically possible in a galaxy.

The model fits galaxy rotation curve data.

Novel tachyon orbits are identified near black holes.

Abstract

The mission here is to see if we can find bound states for tachyons in some gravitational environment. That could provide an explanation for the phenomena called Dark Matter. Starting with the standard Schwarzschild metric in General Relativity, which is for a static and spherically symmetric source, it appears unlikely that such localized orbits exist. In this work the usual assumption of isotropic pressure is replaced by a model that has different pressures in the radial and angular directions. This should be relevant to the study of neutrinos, especially if they are tachyons, in cosmological models. We do find an arrangement that allows bound orbits for tachyons in a galaxy. This is a qualitative breakthrough. Then we go on to estimate the numbers involved and find that we do have a fair quantitative fit to the experimental data on the Galaxy Rotation Curve. Additionally we are led to look in the neighborhood of a Black Hole and there we find novel orbits for tachyons.