2002/09/03 by Banibrata Mukhopadhyay, Ranjeev Misra · 2 citations
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysical Phenomena and Observations #High-pressure geophysics and materials #Pulsars and Gravitational Waves Research #astro-ph #gr-qc
paper · pdf · doi:10.1086/344574
published as Astrophys.J. 582 (2003) 347 · 9 Latex pages including 5 figures and 1 table; Accepted for publication in Astrophysical Journal
arxiv created 2002/09/03 · openalex publication_date 2003/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
Two pseudo-Newtonian potentials, which approximate the angular and epicyclic frequencies of the relativistic accretion disk around rotating (and counter-rotating) compact objects, are presented. One of them, the logarithmically modified potential, is a better approximation for the frequencies while the other, the second-order expanded potential, also reproduces the specific energy for circular orbits in close agreement with the general relativistic values. These potentials may be included in time-dependent hydrodynamic simulations to study the temporal behavior of such accretion disks.