A stationary q-metric
S. ToktarbayDepartment of Physics, Al-Farabi Kazakh National University, 050040, Almaty, KazakhstanH. QuevedoDipartimento di Fisica and ICRA, Università di Roma “La Sapienza”, I-00185, Roma, Italy
2014en
ABI
Abstract
We present a stationary generalization of the static q-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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Cited by 70 references