Perturbative approach to the structure of rapidly rotating neutron stars

Omar Benhar; Valeria Ferrari; Leonardo Gualtieri; Stefania Marassi

doi:10.1103/physrevd.72.044028

Perturbative approach to the structure of rapidly rotating neutron stars

Physical Review D ◽

10.1103/physrevd.72.044028 ◽

2005 ◽

Vol 72 (4) ◽

Cited By ~ 39

Author(s):

Omar Benhar ◽

Valeria Ferrari ◽

Leonardo Gualtieri ◽

Stefania Marassi

Keyword(s):

Neutron Stars ◽

Perturbative Approach

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NUMERICAL TREATMENT OF HARTLE'S PERTURBATION METHOD FOR DIFFERENTIALLY ROTATING NEUTRON STARS SIMULATED BY GENERAL-RELATIVISTIC POLYTROPIC MODELS

International Journal of Modern Physics C ◽

10.1142/s0129183108013370 ◽

2008 ◽

Vol 19 (12) ◽

pp. 1863-1908 ◽

Cited By ~ 7

Author(s):

V. S. GEROYANNIS ◽

A. G. KATELOUZOS

Keyword(s):

Perturbation Method ◽

Neutron Stars ◽

Differential Rotation ◽

Stellar Structure ◽

Gravitational Potential Energy ◽

Numerical Treatment ◽

Third Order ◽

Perturbative Approach ◽

Polytropic Equation ◽

General Relativistic

We compute general-relativistic polytropic models of differentially rotating neutron stars. A brief description of our numerical treatment is given as follows. First, the relativistic Oppenheimer–Volkoff equations of hydrostatic equilibrium are solved for nonrotating models obeying the well-known polytropic equation of state. Then, uniform rotation assumed for such models is treated in the framework of Hartle's perturbation method; thus, corrections to mass and radius, owing to spherical and quadrupole deformations, are calculated. Next, a perturbative approach to the stellar structure up to terms of third order in the angular velocity is carried out; angular momentum, J, moment of inertia, I, rotational kinetic energy, T, and gravitational potential energy, W, are quantities drastically corrected by the third-order approach. Finally, assuming that our polytropic models satisfy a particular differential rotation law, we compute the increase in mass and in some other significant physical characteristics owing to the differential rotation.

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