Article
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Theoretical Search for Gravitational Bound States of Tachyons
Version 1
: Received: 14 August 2022 / Approved: 15 August 2022 / Online: 15 August 2022 (08:26:33 CEST)
A peer-reviewed article of this Preprint also exists.
Schwartz, C. Theoretical Search for Gravitational Bound States of Tachyons. Particles 2022, 5, 331-345. Schwartz, C. Theoretical Search for Gravitational Bound States of Tachyons. Particles 2022, 5, 331-345.
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.
Keywords
General Relativity; Schwarzschild metric; circular flows; tachyons; neutrinos; Dark Matter; black holes
Subject
Physical Sciences, Space Science
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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