On some curvature functionals over homogeneous Siklos space-times

Subject Areas : Differential geometry

A. Zaeim ¹ , M. Jafari ² , R. Kafimoosavi ³

1 - Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
2 - Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
3 - Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran

Received: 2023-05-17 Accepted : 2023-06-11 Published : 2023-06-01

Keywords: Siklos space-times‎, ‎quadratic curvature functional‎, ‎critical metric‎, ‎homogeneous space,

Abstract :

‎Some curvature functionals which are defined according to the quadratic curvature invariants were studied on a special class of space-times‎. ‎We exactly determine metrics that are critical for those considering curvature functionals‎, ‎through homogeneous classes‎.

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