On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity

Sahanous Mallick; Uday Chand De

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2016)

  • Volume: 55, Issue: 2, page 111-127
  • ISSN: 0231-9721

Abstract

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Quasi Einstein manifold is a simple and natural generalization of Einstein manifold. The object of the present paper is to study some properties of generalized quasi Einstein manifolds. We also discuss G ( Q E ) 4 with space-matter tensor and some properties related to it. Two non-trivial examples have been constructed to prove the existence of generalized quasi Einstein spacetimes.

How to cite

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Mallick, Sahanous, and De, Uday Chand. "On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.2 (2016): 111-127. <http://eudml.org/doc/287927>.

@article{Mallick2016,
abstract = {Quasi Einstein manifold is a simple and natural generalization of Einstein manifold. The object of the present paper is to study some properties of generalized quasi Einstein manifolds. We also discuss $G(QE)_\{4\}$ with space-matter tensor and some properties related to it. Two non-trivial examples have been constructed to prove the existence of generalized quasi Einstein spacetimes.},
author = {Mallick, Sahanous, De, Uday Chand},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Einstein manifolds; quasi Einstein manifolds; generalized quasi Einstein manifolds; quasi-conformal curvature tensor; space-matter tensor},
language = {eng},
number = {2},
pages = {111-127},
publisher = {Palacký University Olomouc},
title = {On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity},
url = {http://eudml.org/doc/287927},
volume = {55},
year = {2016},
}

TY - JOUR
AU - Mallick, Sahanous
AU - De, Uday Chand
TI - On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2016
PB - Palacký University Olomouc
VL - 55
IS - 2
SP - 111
EP - 127
AB - Quasi Einstein manifold is a simple and natural generalization of Einstein manifold. The object of the present paper is to study some properties of generalized quasi Einstein manifolds. We also discuss $G(QE)_{4}$ with space-matter tensor and some properties related to it. Two non-trivial examples have been constructed to prove the existence of generalized quasi Einstein spacetimes.
LA - eng
KW - Einstein manifolds; quasi Einstein manifolds; generalized quasi Einstein manifolds; quasi-conformal curvature tensor; space-matter tensor
UR - http://eudml.org/doc/287927
ER -

References

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