The Weyl-Majumdar Relation in Einstein-Yang-Mills Theory

R. P. Mondaini, N. O. Santos
1982 Progress of theoretical physics  
We obtain the Weyl-Majumdar relation in vacuum static Einstein-Yang-Mills theory. The particular case of vacuum static spherically symmetric field is presented. The vacuum Einstein-Yang-Mills field equations!) are given by (1) where (2) satisfying T/ = O. Here F"~ are the Yang-Mills fields, satisfying F "V -1 (~F"V) allv-/_g y-g a Iv +E/abcAvbFc"v=O,
doi:10.1143/ptp.68.1780 fatcat:7vsptpotmvhgljcjj5pb47khby