An approach for modeling tachyons with gravitation

@article{Schwartz2019AnAF,
  title={An approach for modeling tachyons with gravitation},
  author={Charles Schwartz},
  journal={International Journal of Modern Physics A},
  year={2019}
}
  • C. Schwartz
  • Published 10 February 2019
  • Physics
  • International Journal of Modern Physics A
This work expands previous efforts, within the classical theories of Special and General Relativity, to include tachyons (faster-than-light particles) along with ordinary (slower-than-light) particles at any energy. The objective here is to construct a Hamiltonian that includes both the particles and the gravitational field that they produce. We do this with a linear approximation for the Einstein field equations; and we also assume a time-independent gravitational metric implied by a static… 

Theoretical Search for Gravitational Bound States of Tachyons

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

The Lorentz factor in a reverse coordinate system

. In the present study, we have derived the Lorentz factor using a coordinate system with antiparallel X-axes. Using a thought experiment, common in relativistic literature, we have used the case of

An alternative transformation factor in the framework of the relativistic aberration of light

In the present study, we analyze the principles of special relativity and the phenomenon of the aberration of light in combination, deriving a system of equations that allows establishing the

The transformation factor in the framework of the relativistic aberration of light

In the present study, we analyze in combination the principles of special relativity and the phenomenon of the aberration of light, deriving a system of equations that allows establishing the

References

SHOWING 1-9 OF 9 REFERENCES

Tachyons in general relativity

We consider the motion of tachyons (faster-than-light particles) in the framework of general relativity. An important feature is the large contribution of low energy tachyons to the energy-momentum

Tachyon Dynamics - for Neutrinos?

Following earlier studies that provided a consistent theory of kinematics for tachyons (faster-than-light particles) we here embark on a study of tachyon dynamics, both in classical physics and in

Toward a Quantum Theory of Tachyon Fields

We construct momentum space expansions for the wave functions that solve the Klein-Gordon and Dirac equations for tachyons, recognizing that the mass shell for such fields is very different from what

Cosmology and Gravitostatics

In gravitostatics, the minimally generalized Newtonian theory, the simplest cosmological model implies a cosmological redshift with acceleration parameter -1. If the gravitational potential satisfies

The Einstein-Vlasov System/Kinetic Theory

The main purpose of this article is to provide a guide to theorems on global properties of solutions to the Einstein-Vlasov system. This system couples Einstein’s equations to a kinetic matter model.

A First Course in General Relativity

Clarity, readability, and rigor combine in the third edition of this widely used textbook to provide the first step into general relativity for advanced undergraduates with a minimal background in

A First Course in General Relativity (Second Edition)

A few years ago, in my review of Sean Carroll's book in Classical and Quantum Gravity [1], I wrote that while the 1970s was the decade of Weinberg [2] and Misner, Thorne and Wheeler [3], and while

A new proof of the positive energy theorem

A new proof is given of the positive energy theorem of classical general relativity. Also, a new proof is given that there are no asymptotically Euclidean gravitational instantons. (These theorems

Revised theory of tachyons in general relativity

A minus sign is inserted, for good reason, into the formula for the energy–momentum tensor for tachyons. This leads to remarkable theoretical consequences and a plausible explanation for the