A stationary q-metric
General Relativity and Quantum Cosmology
2015-10-15 v1
Abstract
We present a stationary generalization of the static metric, the simplest generalization of the Schwarzschild solution that contains a quadrupole parameter. It possesses three independent parameters that are related to the mass, quadrupole moment and angular momentum. We investigate the geometric and physical properties of this exact solution of Einstein's vacuum equations, and show that it can be used to describe the exterior gravitational field of rotating, axially symmetric, compact objects.
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Cite
@article{arxiv.1510.04155,
title = {A stationary q-metric},
author = {Saken Toktarbay and Hernando Quevedo},
journal= {arXiv preprint arXiv:1510.04155},
year = {2015}
}
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3 pages