The congruence of spacelike curves of tachyons with respective energy-momentum tensor of perfect fluid type

TL;DR

This paper explores the theoretical properties of tachyons as a perfect fluid with spacelike velocities, deriving their energy-momentum tensor and suggesting a connection to dark energy in cosmology.

Contribution

It introduces a superluminal perfect fluid tensor for tachyons within a Lagrangian framework, linking tachyonic energy-momentum to cosmological dark energy models.

Findings

Tachyons can be modeled as a perfect fluid with positive energy density.

The tachyonic fluid exhibits negative pressure, akin to dark energy.

The framework connects superluminal particles to cosmological phenomena.

Abstract

The Special Relativity allows the possibility of a class of particles, known tachyons, that have spacelike 4-velocities, i.e., which move with velocity greater than speed of light in vacuum. In this existence frame, the tachyons have energy and momentum and they must contribute to the gravitational field through by the means of the energy-momentum tensor. The superluminal perfect fluid tensor is obtained assuming the framework Lagrangian formalism and spacelike 4-velocities flowlines of tachyons with energy density. The perfect fluid of tachyons gives rise a positive energy density and a form of negative pressure, which according to various cosmological theoretical results, it is associated with dark energy.