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Title: Universality of the acceleration due to gravity on the surface of a rapidly rotating neutron star

Abstract

On the surface of a rapidly rotating neutron star, the effective centrifugal force decreases the effective acceleration due to gravity (as measured in the rotating frame) at the equator while increasing the acceleration at the poles due to the centrifugal flattening of the star into an oblate spheroid. We compute the effective gravitational acceleration for relativistic rapidly rotating neutron stars and show that for a star with mass M, equatorial radius R{sub e} , and angular velocity Ω, the deviations of the effective acceleration due to gravity from the nonrotating case take on a universal form that depends only on the compactness ratio M/R{sub e} , the dimensionless square of the angular velocity Ω{sup 2}R{sub e}{sup 3}/GM, and the latitude on the star's surface. This dependence is universal, in that it has very little dependence on the neutron star's equation of state. The effective gravity is expanded in the slow-rotation limit to show the dependence on the effective centrifugal force, oblate shape of the star, and the quadrupole moment of the gravitational field. In addition, an empirical fit and simple formula for the effective gravity is found. We find that the increase in the acceleration due to gravity at themore » poles is of the same order of magnitude as the decrease in the effective acceleration due to gravity at the equator for all realistic value of mass, radius, and spin. For neutron stars that spin with frequencies near 600 Hz, the difference between the effective gravity at the poles and the equator is about 20%.« less

Authors:
;  [1]
  1. Department of Physics, University of Alberta, Edmonton, AB T6G 2E1 (Canada)
Publication Date:
OSTI Identifier:
22365345
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 791; Journal Issue: 2; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCELERATION; ANGULAR VELOCITY; EQUATIONS OF STATE; EQUATOR; GRAVITATIONAL FIELDS; MASS; NEUTRON STARS; PULSARS; QUADRUPOLE MOMENTS; RELATIVISTIC RANGE; ROTATION; SPHEROIDS; SPIN; X RADIATION

Citation Formats

AlGendy, Mohammad, and Morsink, Sharon M. Universality of the acceleration due to gravity on the surface of a rapidly rotating neutron star. United States: N. p., 2014. Web. doi:10.1088/0004-637X/791/2/78.
AlGendy, Mohammad, & Morsink, Sharon M. Universality of the acceleration due to gravity on the surface of a rapidly rotating neutron star. United States. doi:10.1088/0004-637X/791/2/78.
AlGendy, Mohammad, and Morsink, Sharon M. 2014. "Universality of the acceleration due to gravity on the surface of a rapidly rotating neutron star". United States. doi:10.1088/0004-637X/791/2/78.
@article{osti_22365345,
title = {Universality of the acceleration due to gravity on the surface of a rapidly rotating neutron star},
author = {AlGendy, Mohammad and Morsink, Sharon M.},
abstractNote = {On the surface of a rapidly rotating neutron star, the effective centrifugal force decreases the effective acceleration due to gravity (as measured in the rotating frame) at the equator while increasing the acceleration at the poles due to the centrifugal flattening of the star into an oblate spheroid. We compute the effective gravitational acceleration for relativistic rapidly rotating neutron stars and show that for a star with mass M, equatorial radius R{sub e} , and angular velocity Ω, the deviations of the effective acceleration due to gravity from the nonrotating case take on a universal form that depends only on the compactness ratio M/R{sub e} , the dimensionless square of the angular velocity Ω{sup 2}R{sub e}{sup 3}/GM, and the latitude on the star's surface. This dependence is universal, in that it has very little dependence on the neutron star's equation of state. The effective gravity is expanded in the slow-rotation limit to show the dependence on the effective centrifugal force, oblate shape of the star, and the quadrupole moment of the gravitational field. In addition, an empirical fit and simple formula for the effective gravity is found. We find that the increase in the acceleration due to gravity at the poles is of the same order of magnitude as the decrease in the effective acceleration due to gravity at the equator for all realistic value of mass, radius, and spin. For neutron stars that spin with frequencies near 600 Hz, the difference between the effective gravity at the poles and the equator is about 20%.},
doi = {10.1088/0004-637X/791/2/78},
journal = {Astrophysical Journal},
number = 2,
volume = 791,
place = {United States},
year = 2014,
month = 8
}
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