Proper semiconformal symmetries of spacetimes with divergence-free semiconformal curvature tensor
In the present paper, the symmetries admitted by semiconformal curvature tensor in semiconformally symmetric spacetime have been studied and we show that a four-dimensional spacetime admitting a proper semiconformal symmetry is semiconformally flat or of the Petrov type N. It is also shown that a fo...
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| Veröffentlicht in: | Filomat 2019, Vol.33 (16), p.5191-5198 |
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| container_title | Filomat |
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| creator | Ali, Musavvir Pundeer, Naeem Suh, Young |
| description | In the present paper, the symmetries admitted by semiconformal curvature
tensor in semiconformally symmetric spacetime have been studied and we show
that a four-dimensional spacetime admitting a proper semiconformal symmetry
is semiconformally flat or of the Petrov type N. It is also shown that a
four-dimensional spacetime with divergence-free semiconformal curvature
tensor admitting a proper semiconformal symmetry is locally of the Petrov
type O or has four distinct principal null directions. In both the cases, we
found that if the spacetime admits an infinitesimal semiconformal Killing
vector field then the scalar curvature of the spacetime vanishes.
nema |
| doi_str_mv | 10.2298/FIL1916191A |
| format | Article |
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tensor in semiconformally symmetric spacetime have been studied and we show
that a four-dimensional spacetime admitting a proper semiconformal symmetry
is semiconformally flat or of the Petrov type N. It is also shown that a
four-dimensional spacetime with divergence-free semiconformal curvature
tensor admitting a proper semiconformal symmetry is locally of the Petrov
type O or has four distinct principal null directions. In both the cases, we
found that if the spacetime admits an infinitesimal semiconformal Killing
vector field then the scalar curvature of the spacetime vanishes.
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tensor in semiconformally symmetric spacetime have been studied and we show
that a four-dimensional spacetime admitting a proper semiconformal symmetry
is semiconformally flat or of the Petrov type N. It is also shown that a
four-dimensional spacetime with divergence-free semiconformal curvature
tensor admitting a proper semiconformal symmetry is locally of the Petrov
type O or has four distinct principal null directions. In both the cases, we
found that if the spacetime admits an infinitesimal semiconformal Killing
vector field then the scalar curvature of the spacetime vanishes.
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tensor in semiconformally symmetric spacetime have been studied and we show
that a four-dimensional spacetime admitting a proper semiconformal symmetry
is semiconformally flat or of the Petrov type N. It is also shown that a
four-dimensional spacetime with divergence-free semiconformal curvature
tensor admitting a proper semiconformal symmetry is locally of the Petrov
type O or has four distinct principal null directions. In both the cases, we
found that if the spacetime admits an infinitesimal semiconformal Killing
vector field then the scalar curvature of the spacetime vanishes.
nema</abstract><doi>10.2298/FIL1916191A</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Filomat, 2019, Vol.33 (16), p.5191-5198 |
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| language | eng |
| recordid | cdi_crossref_primary_10_2298_FIL1916191A |
| source | Jstor Complete Legacy; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| title | Proper semiconformal symmetries of spacetimes with divergence-free semiconformal curvature tensor |
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