2018/05/14 by Pau Beltrán-Palau, Beltrán-Palau, Pau, Miguel Portilla +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #83C15 #83C20 #83C75 #Advanced Mathematical Theories and Applications #Bridge (graph theory) #Classical mechanics #Cosmic censorship hypothesis #Einstein #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Geodesic #Geometry #Hyperbolic space #Hyperboloid #Mathematical physics #Mathematics #Microtubule and mitosis dynamics #Optics #Physics #Singularity #Theoretical physics #gr-qc #msc:83C15 #msc:83C20 #msc:83C75
paper · pdf · doi:10.48550/arxiv.1805.05112
11 pages, 6 figures
openalex publication_date 2018/05/14 · openalex created_date 2018/05/17 · arxiv created 2019/09/12 · arxiv updated 2019/09/13 · openalex updated_date 2026/07/28
Using systematically isothermal coordinates we show that there exist three different maximal extensions of the original Einstein-Rosen bridge. One of them, the hyperbolic Einstein-Rosen bridge, has two-dimensional sections diffeomorphic to the covering space of an hyperboloid of revolution, a singularity satisfying the cosmic censorship and a bridge generated by light-like geodesics that can be traversed by time-like curves. The collapse process that might produce this object is an interesting open problem.