caa a22 4500 445387084 CHVBK 20180317143035.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10714-010-0940-5 doi (NATIONALLICENCE)springer-10.1007/s10714-010-0940-5 Quevedo Hernando Dipartimento di Fisica, Università di Roma La Sapienza, Piazzale Aldo Moro 5, 00185, Rome, Italy aut Exterior and interior metrics with quadrupole moment [Elektronische Daten] [Hernando Quevedo] We present the Ernst potential and the line element of an exact solution of Einstein's vacuum field equations that contains as arbitrary parameters the total mass, the angular momentum, and the quadrupole moment of a rotating mass distribution. We show that in the limiting case of slowly rotating and slightly deformed configuration, there exists a coordinate transformation that relates the exact solution with the approximate Hartle solution. It is shown that this approximate solution can be smoothly matched with an interior perfect fluid solution with physically reasonable properties. This opens the possibility of considering the quadrupole moment as an additional physical degree of freedom that could be used to search for a realistic exact solution, representing both the interior and exterior gravitational field generated by a self-gravitating axisymmetric distribution of mass of perfect fluid in stationary rotation. Springer Science+Business Media, LLC, 2010 Quadrupole nationallicence Exterior solutions nationallicence Interior solutions nationallicence General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/4(2011-04-01), 1141-1152 0001-7701 43:4<1141 2011 43 10714 https://doi.org/10.1007/s10714-010-0940-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-010-0940-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Quevedo Hernando Dipartimento di Fisica, Università di Roma La Sapienza, Piazzale Aldo Moro 5, 00185, Rome, Italy aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/4(2011-04-01), 1141-1152 0001-7701 43:4<1141 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer