1996/06/04 by K. S. Virbhadra, Virbhadra, K. S. · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics (astro-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.gr-qc/9606004
singlespaced 9 pages, LaTex, no figures
arxiv created 1996/06/04 · openalex publication_date 1996/06/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a static, axially symmetric, and asymptotically flat exact solution of the Einstein vacuum equations, known as the gamma metric. This is characterized by two constant parameters m and γ. We find that the total energy associated with this metric is m γ. Considering the total energy to be positive, we investigate the nature of a curvature singularity r=2m (r is the radial coordinate) in this metric. For γ< 1, this singularity is globally visible along θ= 0 as well as θ= π/2. However, for γ> 1, this singularity is though globally naked along θ=π/2, it is not visible (even locally) along θ= 0. Thus, this exhibits ``directional nakedness'' for γ> 1. This could have implications for astrophysics.