Conformally-transformed metric with arbitrary mass

Authors

Jerrold Garcia ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Let g_ij = δ_ij + h_ij be a C² metric on 𝔼³, where h_ij is symmetric and homogeneous in r of degree -1, and such that the linear (h_ij and its derivatives) part of the curvature scalar, denoted by R_L, is non-zero. Then there exists a metric g_ij' conformally related
to g_ij such that R_L = 0. Furthermore, the metric g_ij' can have an arbitrarily set mass.

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Issue

1988: Proceedings of the Seventh Samahang Pisika ng Pilipinas National Physics Congress

Progress of Theoretical and Experimental Physics (1988)
30 May–1 June 1988, University of the Philippines Los Baños, Laguna

Article ID

SPP-1988-TP-03

Section

Theoretical Physics

Published

1988-05-30

How to Cite

[1]

J Garcia, Conformally-transformed metric with arbitrary mass, Proceedings of the Samahang Pisika ng Pilipinas 7, SPP-1988-TP-03 (1988). URL: https://proceedings.spp-online.org/article/view/SPP-1988-TP-03.