Conformally Flat Siklos Metrics Are Ricci Solitons-Reference-Cited by-同舟云学术

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Conformally Flat Siklos Metrics Are Ricci Solitons

Published:2020-06-08 Issue:2 Volume:9 Page:64
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Calvaruso Giovanni^ORCID

Abstract

We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/9/2/64/pdf

Reference19 articles.

1. Recent progress on Ricci solitons;Cao;Adv. Lect. Math.,2009

2. The Ricci flow on surfaces;Hamilton;Contemp. Math.,1988

3. Ricci solitons and Einstein-scalar field theory

4. Ricci solitons on Lorentzian manifolds with large isometry groups

5. Three-dimensional Lorentzian homogeneous Ricci solitons

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1. Totally geodesic and parallel hypersurfaces of Siklos spacetimes;International Journal of Geometric Methods in Modern Physics;2024-02-05

2. Curvature Inheritance Symmetry in Ricci Flat Spacetimes;Universe;2022-08-04

3. On the symmetries of Siklos spacetimes;General Relativity and Gravitation;2022-06

4. A Ricci Soliton Characterization of Pure Radiation Metrics Conformal to a Vacuum Space-Time;Gravitation and Cosmology;2022-06

5. Solutions of the Ricci soliton equation for a large class of Siklos spacetimes;International Journal of Geometric Methods in Modern Physics;2021-01-16

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