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Title: Exact general relativistic rotating thick disks

Abstract

Two families of exact general relativistic rotating thick disks based on the Kerr metric are obtained by applying two kinds of transformation on the Kerr solution. The first is the one proposed by Miyamoto and Nagai in the context of Newtonian galactic models, and the second one is based on the 'displace, cut, fill and reflect' method. Both kinds of disks have well-behaved energy-density distributions. A stability analysis of circular orbits on the z=0 plane shows that for large values of the Kerr parameter some retrograde orbits tend to be unstable.

Authors:
;  [1]
  1. Departamento de Matematica Aplicada-IMECC, Universidade Estadual de Campinas, 13083-970 Campinas, S.P. (Brazil)
Publication Date:
OSTI Identifier:
21032457
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 76; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.76.084010; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; DISTRIBUTION; ENERGY DENSITY; KERR METRIC; MATHEMATICAL SOLUTIONS; ORBITS; RELATIVISTIC RANGE; STABILITY; TRANSFORMATIONS

Citation Formats

Vogt, D, and Letelier, P S. Exact general relativistic rotating thick disks. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.76.084010.
Vogt, D, & Letelier, P S. Exact general relativistic rotating thick disks. United States. https://doi.org/10.1103/PHYSREVD.76.084010
Vogt, D, and Letelier, P S. 2007. "Exact general relativistic rotating thick disks". United States. https://doi.org/10.1103/PHYSREVD.76.084010.
@article{osti_21032457,
title = {Exact general relativistic rotating thick disks},
author = {Vogt, D and Letelier, P S},
abstractNote = {Two families of exact general relativistic rotating thick disks based on the Kerr metric are obtained by applying two kinds of transformation on the Kerr solution. The first is the one proposed by Miyamoto and Nagai in the context of Newtonian galactic models, and the second one is based on the 'displace, cut, fill and reflect' method. Both kinds of disks have well-behaved energy-density distributions. A stability analysis of circular orbits on the z=0 plane shows that for large values of the Kerr parameter some retrograde orbits tend to be unstable.},
doi = {10.1103/PHYSREVD.76.084010},
url = {https://www.osti.gov/biblio/21032457}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 76,
place = {United States},
year = {Mon Oct 15 00:00:00 EDT 2007},
month = {Mon Oct 15 00:00:00 EDT 2007}
}