2018/05/15 by Sayuri Singh, Singh, Sayuri, Rituparno Goswami +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Circular symmetry #Classical mechanics #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Covariant transformation #FOS: Physical sciences #Formalism (music) #General Relativity and Quantum Cosmology (gr-qc) #Geometry #Homogeneous space #Homothetic transformation #Mathematical physics #Mathematics #Mechanics #Physics #Quantum mechanics #Rotational symmetry #Spacetime #Symmetry (geometry) #gr-qc
paper · pdf · doi:10.48550/arxiv.1805.05664
published in arXiv (Cornell University) (Cornell University) · 6 pages, Revtex4
arxiv created 2018/05/15 · openalex publication_date 2018/05/15 · arxiv updated 2018/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we investigate conformal symmetries in Locally Rotationally Symmetric (LRS) spacetimes using a semitetrad covariant formalism. We demonstrate that a general LRS spacetime which rotates and spatially twists simultaneously has an inherent homothetic symmetry in the plane spanned by the fluid flow lines and the preferred spatial direction. We discuss the nature and consequence of this homothetic symmetry showing that a null Killing horizon arises when the heat flux has an extremal value. We also consider the special case of a perfect fluid and the restriction on the conformal geometry.