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Title: Van Stockum-Bonnor spacetimes of rigidly rotating dust

Abstract

Stationary, axisymmetric, and asymptotically flat spacetimes of dust of which trajectories are integral curves of the time translation Killing vector are investigated. The flow has no Newtonian limit. Asymptotic flatness implies the existence of singularities of the curvature scalar that are distributions and that are not isolated from regularity regions of the flow. The singularities are closely related to the presence of additional stresses that contribute negative active mass to the total (Komar) mass, which is zero for asymptotically flat spacetimes. Several families of solutions were constructed.

Authors:
;  [1];  [1];  [2]
  1. Institute of Nuclear Physics PAN, Radzikowskego 152, 31-342 Cracow (Poland)
  2. (Poland)
Publication Date:
OSTI Identifier:
20935282
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.107502; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AXIAL SYMMETRY; DUSTS; INTEGRALS; MASS; MATHEMATICAL SOLUTIONS; SCALARS; SINGULARITY; SPACE-TIME; STRESSES; TRAJECTORIES; VECTORS

Citation Formats

Bratek, Lukasz, Jalocha, Joanna, Kutschera, Marek, and Jagellonian University, Institute of Physics, Reymonta 4, 30-059 Cracow. Van Stockum-Bonnor spacetimes of rigidly rotating dust. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.107502.
Bratek, Lukasz, Jalocha, Joanna, Kutschera, Marek, & Jagellonian University, Institute of Physics, Reymonta 4, 30-059 Cracow. Van Stockum-Bonnor spacetimes of rigidly rotating dust. United States. doi:10.1103/PHYSREVD.75.107502.
Bratek, Lukasz, Jalocha, Joanna, Kutschera, Marek, and Jagellonian University, Institute of Physics, Reymonta 4, 30-059 Cracow. Tue . "Van Stockum-Bonnor spacetimes of rigidly rotating dust". United States. doi:10.1103/PHYSREVD.75.107502.
@article{osti_20935282,
title = {Van Stockum-Bonnor spacetimes of rigidly rotating dust},
author = {Bratek, Lukasz and Jalocha, Joanna and Kutschera, Marek and Jagellonian University, Institute of Physics, Reymonta 4, 30-059 Cracow},
abstractNote = {Stationary, axisymmetric, and asymptotically flat spacetimes of dust of which trajectories are integral curves of the time translation Killing vector are investigated. The flow has no Newtonian limit. Asymptotic flatness implies the existence of singularities of the curvature scalar that are distributions and that are not isolated from regularity regions of the flow. The singularities are closely related to the presence of additional stresses that contribute negative active mass to the total (Komar) mass, which is zero for asymptotically flat spacetimes. Several families of solutions were constructed.},
doi = {10.1103/PHYSREVD.75.107502},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}