J Martín et al 2008 Class. Quantum Grav. 25 105019 doi:10.1088/0264-9381/25/10/105019
J Martín1, A Molina2 and E Ruiz1
Show affiliationsWe use a recent result by Cabezas et al (2007 Gen. Rel. Grav. 39 707) to build up an approximate solution to the gravitational field created by a rigidly rotating polytrope. We solve the linearized Einstein equations inside and outside the surface of zero pressure including second-order corrections due to rotational motion to get an asymptotically flat metric in a global harmonic coordinate system. We prove that if the metric and their first derivatives are continuous on the matching surface up to this order of approximation, the multipole moments of this metric cannot be fitted to those of the Kerr metric.
04.20.-q Classical general relativity
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 10 (21 May 2008)
Received 28 September 2007, in final form 13 March 2008
Published 7 May 2008
J Martín et al 2008 Class. Quantum Grav. 25 105019
S Menouar et al 2008 J. Phys. A: Math. Theor. 41 215303
E P Esteban 2009 J. Phys.: Conf. Ser. 189 012012
Zhou Xiaofang et al 2009 J. Phys. D: Appl. Phys. 42 225303
S Schultz et al 2009 Smart Mater. Struct. 18 115015
Martin Horvat and Gregor Veble 2009 J. Phys. A: Math. Theor. 42 465101
J Cieslak et al 2008 J. Phys.: Condens. Matter 20 235234
Bo Feng et al JHEP12(2001)035
Renjia Zhou et al 2007 Nanotechnology 18 485603
O Janson et al 2009 New J. Phys. 11 113034