Approximate Spacetime for Neutron Stars
Francisco Frutos-Alfaro
TL;DR
This paper develops an approximate spacetime metric for neutron stars by perturbing the Kerr metric and constructing a Hartle-Thorne type metric with multiple parameters, enabling better modeling of neutron star gravitational fields.
Contribution
It introduces a new five-parameter approximate metric for neutron stars and derives a Hartle-Thorne version through series transformation and Einstein equations.
Findings
The metric includes mass, spin, quadrupole, octupole, and hexadecapole parameters.
Comparison of relativistic multipole structures is provided.
The form of the Pappas metric in Schwarzschild coordinates is established.
Abstract
An approximate realistic metric representing the spacetime of neutron stars is obtained by perturbing the Kerr metric. This metric has five parameters, namely the mass, spin or angular momentum, mass quadrupole, spin octupole and mass hexadecapole. Moreover, a version of the Hartle-Thorne metric containing these parameters is constructed by means of a series transformation between these spacetimes and solving the Einstein field equations. The form of the Pappas metric in Schwarzschild spherical coordinates is found. The three relativistic multipole structures are compared.
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