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Pseudo‐Newtonian Potentials to Describe the Temporal Effects on Relativistic Accretion Disks around Rotating Black Holes and Neutron Stars
Author(s) -
Banibrata Mukhopadhyay,
Ranjeev Misra
Publication year - 2003
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/344574
Subject(s) - physics , neutron star , accretion (finance) , accretion disc , angular velocity , astrophysics , classical mechanics , newtonian fluid , relativistic quantum chemistry , nuclear physics
Two pseudo-Newtonian potentials, which approximate the angular and epicyclicfrequencies of the relativistic accretion disk around rotating (and counterrotating) compact objects, are presented. One of them, the LogarithmicallyModified Potential, is a better approximation for the frequencies while theother, the Second-order Expanded potential, also reproduces the specific energyfor circular orbits in close agreement with the General Relativistic values.These potentials may be included in time dependent hydrodynamical simulationsto study the temporal behavior of such accretion disks.Comment: 9 Latex pages including 5 figures and 1 table; Accepted for publication in Astrophysical Journa

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