Chaplygin Gravitodynamics

TL;DR

This paper introduces a new relativistic gravity theory coupled with Chaplygin matter, resulting in a dust-like density with negative pressure, and demonstrates its consistency with energy conservation principles.

Contribution

It presents a novel relativistic formulation of Chaplygin matter and explores its implications for gravity, which is a new approach in the field.

Findings

Derived a new form of Chaplygin matter with dust-like density and negative pressure.

Showed compatibility with a relativistic energy conservation principle.

Abstract

We consider a new approach for gravity theory coupled to Chaplygin matter in which the {\it{relativistic}} formulation of the latter is of crucial importance. We obtain a novel form of matter with dust like density $(\sim (volume)^{-1})$ and negative pressure. We explicitly show that our results are compatible with a relativistic generalization of the energy conservation principle, derived here.