منابع مشابه
Symmetric curvature tensor
Recently, we have used the symmetric bracket of vector fields, and developed the notion of the symmetric derivation. Using this machinery, we have defined the concept of symmetric curvature. This concept is natural and is related to the notions divergence and Laplacian of vector fields. This concept is also related to the derivations on the algebra of symmetric forms which has been discu...
متن کاملSpacetimes admitting quasi-conformal curvature tensor
The object of the present paper is to study spacetimes admitting quasi-conformal curvature tensor. At first we prove that a quasi-conformally flat spacetime is Einstein and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying Einstein's field equation with cosmological constant is covariant constant. Next, we prove that if the perfect flui...
متن کاملsymmetric curvature tensor
recently, we have used the symmetric bracket of vector fields, and developed the notion of the symmetric derivation. using this machinery, we have defined the concept of symmetric curvature. this concept is natural and is related to the notions divergence and laplacian of vector fields. this concept is also related to the derivations on the algebra of symmetric forms which has been discus...
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متن کاملspacetimes admitting quasi-conformal curvature tensor
the object of the present paper is to study spacetimes admitting quasi-conformal curvature tensor. at first we prove that a quasi-conformally flat spacetime is einstein and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying einstein's field equation with cosmological constant is covariant constant. next, we prove that if the perfect...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2012
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/29/15/155007