TY - JOUR
T1 - Spherically symmetric solution in a space-time with torsion
AU - Farfán, Filemon
AU - García-Salcedo, Ricardo
AU - Loaiza-Brito, Oscar
AU - Moreno, Claudia
AU - Yakhno, Alexander
N1 - Funding Information:
Acknowledgments We would like to thank Friedrich Hehl for useful suggestions and comments, and for pointing us out relevant references for our research. This work was partly supported by CONACyT Mexico, under contracts No. 49924-J, 105079, 60209 and fomix-conacyt 52327; also by SNI-CONACyT. R.G-S. acknowledges partial support from COFAA, EDI, SIP 20100610 and SIP 20110664 IPN grants. O. L.-B. is partially supported by PROMEP. F.F, C.M. and A.Y. acknowledges to ProSNI-UdG.
PY - 2012/2
Y1 - 2012/2
N2 - By using the method of group analysis, we obtain a new exact evolving and spherically symmetric solution of the Einstein-Cartan equations of motion, corresponding to a space-time threaded with a three-form Kalb-Ramond field strength. The solution describes in its more generic form, a space-time which scalar curvature vanishes for large distances and for large time. In static conditions, it reduces to a classical wormhole solution and to a exact solution with a localized scalar field and a torsion kink, already reported in literature. In the process we have found evidence towards the construction of more new solutions.
AB - By using the method of group analysis, we obtain a new exact evolving and spherically symmetric solution of the Einstein-Cartan equations of motion, corresponding to a space-time threaded with a three-form Kalb-Ramond field strength. The solution describes in its more generic form, a space-time which scalar curvature vanishes for large distances and for large time. In static conditions, it reduces to a classical wormhole solution and to a exact solution with a localized scalar field and a torsion kink, already reported in literature. In the process we have found evidence towards the construction of more new solutions.
KW - Group analysis
KW - Space-time with torsion
KW - Spherically symmetric solution
UR - http://www.scopus.com/inward/record.url?scp=84855984760&partnerID=8YFLogxK
U2 - 10.1007/s10714-011-1293-4
DO - 10.1007/s10714-011-1293-4
M3 - Artículo
SN - 0001-7701
VL - 44
SP - 535
EP - 553
JO - General Relativity and Gravitation
JF - General Relativity and Gravitation
IS - 2
ER -