2004/05/13 by Yukio Tomozawa, Tomozawa, Yukio
Engineering · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Manufacturing Process and Optimization #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0405071
14 pages, no figures
arxiv created 2004/05/13 · openalex publication_date 2004/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A physical metric is constructed as one that gives a coordinate independent result for the time delay in infinite order in the perturbation expansion in the gravitational constant. A compact form for the metric is obtained. One result is that the metric functions are positive definite. Another is an exact expression for the gravitational red shift. The metric can be used to calculate general relativity predictions in higher order for any process. A relationship between the spacetimes of the physical metric and the Schwarzschild metric is discussed.