An action with positive kinetic energy term for general relativity

TL;DR

This paper introduces a new action for general relativity with a positive kinetic energy term, based on a specific coordinate condition, and discusses its implications for canonical quantization.

Contribution

It presents a novel action formulation for general relativity ensuring positive kinetic energy, facilitating a new approach to canonical quantization.

Findings

Derived an action with positive kinetic energy for general relativity

Discussed the implications for canonical quantization of gravity

Built upon previous results to improve the theoretical framework

Abstract

At first, we state some results in arXiv: 0707.2639, and then, using a positive kinetic energy coordinate condition given by arXiv: 0707.2639, we present an action with positive kinetic energy term for general relativity. Based on this action, the corresponding theory of canonical quantization is discussed.