Parametrized post-Newtonian virial theorem

TL;DR

This paper derives a tensor form of the virial theorem within the parametrized post-Newtonian framework, providing a tool for analyzing gravitational systems in alternative theories of gravity.

Contribution

It introduces the tensor form of the parametrized post-Newtonian virial theorem, extending classical results to modified gravity theories.

Findings

Tensor form of the PPN virial theorem derived

Framework applicable to alternative gravity theories

Facilitates analysis of gravitational systems in PPN regime

Abstract

Using the parametrized post-Newtonian equations of hydrodynamics, we derive the tensor form of the parametrized post-Newtonian virial theorem.