×

Cylindrically symmetric relativistic fluids and the purely electric Weyl tensor. (English) Zbl 1327.83029

Summary: In General Relativity (GR), the analysis of electric and magnetic Weyl tensors has been studied by various authors. The present study deals with cylindrically symmetric relativistic fluids in GR characterized by the vanishing of magnetic Weyl tensor-purely electric (PE) fields. A very new assumption has been adapted to solve the Einstein’s equations and the obtained solution is shearing at all. We signified the importance of PE fields in the context of expansion scalar, energy density, shear and acceleration.

MSC:

83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83F05 Relativistic cosmology
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DOI: 10.1007/BF00767859 · Zbl 0539.53052 · doi:10.1007/BF00767859
[2] DOI: 10.1088/0264-9381/2/1/010 · Zbl 0575.53078 · doi:10.1088/0264-9381/2/1/010
[3] DOI: 10.1103/PhysRevD.80.064031 · doi:10.1103/PhysRevD.80.064031
[4] DOI: 10.1007/s10714-012-1422-8 · Zbl 1255.83035 · doi:10.1007/s10714-012-1422-8
[5] DOI: 10.1086/303839 · doi:10.1086/303839
[6] DOI: 10.1088/0264-9381/6/7/003 · Zbl 0682.53077 · doi:10.1088/0264-9381/6/7/003
[7] DOI: 10.1086/175755 · doi:10.1086/175755
[8] DOI: 10.4153/CJM-1953-001-3 · Zbl 0050.21504 · doi:10.4153/CJM-1953-001-3
[9] Stephani H., General Relativity (1982)
[10] Stephani H., General Relativity: An Introduction to the Theory of Gravitational Field (1990) · Zbl 0712.53031
[11] DOI: 10.1017/CBO9780511616532 · doi:10.1017/CBO9780511616532
[12] DOI: 10.1017/CBO9780511535185 · doi:10.1017/CBO9780511535185
[13] DOI: 10.1088/0264-9381/11/6/019 · Zbl 0813.53060 · doi:10.1088/0264-9381/11/6/019
[14] DOI: 10.1088/0264-9381/15/4/021 · Zbl 0940.83015 · doi:10.1088/0264-9381/15/4/021
[15] DOI: 10.1007/s10714-006-0351-9 · Zbl 1157.83312 · doi:10.1007/s10714-006-0351-9
[16] DOI: 10.1007/s10509-013-1481-7 · Zbl 1284.83185 · doi:10.1007/s10509-013-1481-7
[17] DOI: 10.1142/S0219887814500431 · Zbl 1295.83013 · doi:10.1142/S0219887814500431
[18] DOI: 10.1063/1.1664679 · doi:10.1063/1.1664679
[19] Barnes A., J. Phys. 5 pp 374– (1972)
[20] DOI: 10.1063/1.522497 · Zbl 0355.76079 · doi:10.1063/1.522497
[21] DOI: 10.1007/BF00762798 · Zbl 0334.76059 · doi:10.1007/BF00762798
[22] DOI: 10.1103/RevModPhys.21.447 · Zbl 0041.56701 · doi:10.1103/RevModPhys.21.447
[23] DOI: 10.1063/1.526218 · Zbl 0558.76128 · doi:10.1063/1.526218
[24] DOI: 10.1007/BF01608547 · Zbl 0296.53051 · doi:10.1007/BF01608547
[25] DOI: 10.1063/1.523455 · Zbl 0361.76118 · doi:10.1063/1.523455
[26] DOI: 10.1063/1.527006 · Zbl 0613.53036 · doi:10.1063/1.527006
[27] DOI: 10.1088/0264-9381/4/4/008 · doi:10.1088/0264-9381/4/4/008
[28] DOI: 10.1023/A:1001958805232 · Zbl 0971.83002 · doi:10.1023/A:1001958805232
[29] DOI: 10.1088/0264-9381/24/10/010 · Zbl 1117.83035 · doi:10.1088/0264-9381/24/10/010
[30] DOI: 10.1007/s10773-007-9460-9 · Zbl 1140.83323 · doi:10.1007/s10773-007-9460-9
[31] DOI: 10.1007/BF00758984 · doi:10.1007/BF00758984
[32] DOI: 10.1007/s10714-011-1244-0 · Zbl 1230.83004 · doi:10.1007/s10714-011-1244-0
[33] DOI: 10.1007/s10582-006-0125-3 · Zbl 1105.83022 · doi:10.1007/s10582-006-0125-3
[34] DOI: 10.1007/BF02828930 · doi:10.1007/BF02828930
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.