®®®® SIIA Público

Título del libro: Neutron Stars: Physics, Properties And Dynamics
Título del capítulo: Quadrupolar metrics

Autores UNAM:
HERNANDO QUEVEDO CUBILLOS;
Autores externos:

Idioma:
Inglés
Año de publicación:
2017
Palabras clave:

Exact solutions; Neutron stars


Resumen:

We review the problem of describing the gravitational field of compact stars in general relativity. We focus on the deviations from spherical symmetry which are expected to be due to rotation and to the natural deformations of mass distributions. We assume that the relativistic quadrupolemoment takes into account these deviations, and consider the class of axisymmetric static and stationary quadrupolarmetrics which satisfy Einstein's equations in empty space and in the presence of matter represented by a perfect fluid. We formulate the physical conditions that must be satisfied for a particular spacetime metric to describe the gravitational field of compact stars. We present a brief review of the main static and axisymmetric exact solutions of Einstein's vacuum equations, satisfying all the physical conditions. We discuss how to derive particular stationary and axisymmetric solutions with quadrupolar properties by using the solution generating techniques which correspond either to Lie symmetries and Bäckund transformations of the Ernst equations or to the inverse scattering method applied to Einstein's equations. As for interior solutions, we argue that it is necessary to apply alternative methods to obtain physically meaningful solutions, and review a method which allows us to generate interior perfect-fluid solutions. © 2017 Nova Science Publishers, Inc. All rights reserved.


Entidades citadas de la UNAM: