2012/07/31 by Kuantay Boshkayev, Hernando Quevedo, R. Ruffini +1
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Exact solutions in general relativity #Field (mathematics) #General relativity #Geometry #Geophysics and Gravity Measurements #Gravitation #Gravitational field #Limiting #Mathematical analysis #Mathematics #Object (grammar) #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum mechanics #Rotation (mathematics) #gr-qc
paper · pdf · doi:10.1103/physrevd.86.064043
published as Physical Review D 86, 064043 (2012) · 15 pages, published in Phys. Rev. D.: http://prd.aps.org/pdf/PRD/v86/i6/e064043
openalex publication_date 2012/09/26 · arxiv created 2012/10/05 · arxiv updated 2012/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study some exact and approximate solutions of Einstein's equations that can be used to describe the gravitational field of astrophysical compact objects in the limiting case of slow rotation and slight deformation. First, we show that none of the standard models obtained by using Fock's method can be used as an interior source for the approximate exterior Kerr solution. We then use Fock's method to derive a generalized interior solution, and also an exterior solution that turns out to be equivalent to the exterior Hartle-Thorne approximate solution that, in turn, is equivalent to an approximate limiting case of the exact Quevedo-Mashhoon solution. As a result we obtain an analytic approximate solution that describes the interior and exterior gravitational field of a slowly rotating and slightly deformed astrophysical object.