TY - JOUR
T1 - Note on SL(2,C) gauge theory of gravitation
AU - Carmeli, M.
PY - 1976/1/1
Y1 - 1976/1/1
N2 - A previous paper suggested a Lagrangian density to the SL(2,C) gauge theory of general relativity that leads to the Bianchi equations of the Newman-Penrose equations. In this paper we propose a new Lagrangian density that also leads to the Bianchi equations, but with matter already substituted for nine of the ten components of the Ricci tensor, thus incorporating nine out of the ten Einstein conditions.
AB - A previous paper suggested a Lagrangian density to the SL(2,C) gauge theory of general relativity that leads to the Bianchi equations of the Newman-Penrose equations. In this paper we propose a new Lagrangian density that also leads to the Bianchi equations, but with matter already substituted for nine of the ten components of the Ricci tensor, thus incorporating nine out of the ten Einstein conditions.
UR - http://www.scopus.com/inward/record.url?scp=35949029966&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.14.2518
DO - 10.1103/PhysRevD.14.2518
M3 - Article
AN - SCOPUS:35949029966
SN - 1550-7998
VL - 14
SP - 2518
EP - 2520
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 10
ER -