Potential Functions Admitted by Well-Known Spherically Symmetric Static Spacetimes. Issue 2 (April 2018)

• Record Type: Journal Article
• Authors: Jamal, Sameerah; Jamal, Sameerah; Shabbir, Ghulam
• Is Part Of: Reports on mathematical physics. Volume 81:Issue 2(2018)
• Page Start: 201
• Page End: 212
• Publication Date: 2018-04
• Subjects: Lie symmetry -- potential functions -- Klein—Gordon equation; 22E60 -- 76M60 -- 35Q75 -- 34C20; Mathematical physics -- Periodicals; Physique mathématique -- Périodiques; 530.15
• DOI: 10.1016/S0034-4877(18)30037-5
• Languages: English
• ISSNs: 0034-4877

Abstract

Abstract : Conformal groups, which also represent the point symmetries of wave and Klein—Gordon equations, give rise to interesting forms of an associated potential function. The exact nature of the relationship between the conformal groups and the wave and Klein—Gordon equations is given by a geometric condition, that we exploit to determine a variety of potentials functions. Due to the volume of potentials, we display the results in tables.