2001/07/11 by Guillermo González, Omar A. Espitia, Guillermo A. Gonzalez · 1 citation
Mathematics · Physics and Astronomy · #Axial symmetry #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geodesic #Geometry #Mathematical analysis #Mathematics #Mechanics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Superposition principle #Tensor (intrinsic definition) #gr-qc
paper · pdf · doi:10.1103/physrevd.68.104028
published as Phys.Rev.D68:104028,2003 · 19 pages, 6 figures. Submitted to Physical Review D
arxiv created 2001/07/11 · openalex publication_date 2003/11/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A detailed study is presented of the counterrotating model (CRM) for generic finite static axially symmetric thin disks with nonzero radial pressure. A general constraint over the counterrotating tangential velocities, needed to cast the surface energy-momentum tensor of the disk as the superposition of two counterrotating perfect fluids, and expressions for the energy density and pressure of the counterrotating fluids are obtained. We show that, in general, it is not possible to take the two counterrotating fluids as circulating along geodesics nor take the two counterrotating tangential velocities as equal and opposite. A simple family of disks is studied that admits some CRMs with well defined counterrotating tangential velocities and stable against radial perturbations.