Instability windows of Chandrasekhar-Friedman-Schutz instability

Oleg Kirillov, Joris Labarbe*

*Corresponding author for this work

Research output: Contribution to conferenceAbstractpeer-review

Abstract

Rotating, self-gravitating mass of incompressible ideal fluid possesses an axially symmetric equilibrium configuration known as the Maclaurin spheroid. Fluid viscosity causes dissipation-induced instability of this equilibrium. Chandrasekhar discovered that radiation reaction force due to emission of gravitational waves could lead to a radiative instability of the Maclaurin spheroids. In the presence of both viscosity and resistivity, the ratio of these two dissipative forces plays a crucial role, determining the instability window for the Chandrasekhar-Friedman-Schutz (CFS) instability. The CFS instability is commonly accepted nowadays as one of the main triggers of gravitational radiation from single neutron stars that is the next goal for the existing (LIGO, Virgo) and planned (LISA) detectors of gravitational waves. Perturbation theory for eigenvalues in combination with numerical methods was proposed for calculation of instability windows of the CFS instability already in previous works. We are extending this approach to the multiple-parameter case by adopting established methodology to get better approximations and to put the CFS to the general context of the dissipation-induced instability theory.

Conference

ConferenceDynamics Days Europe 2021
CountryFrance
CityNice
Period23/08/2127/08/21
Internet address

Fingerprint

Dive into the research topics of 'Instability windows of Chandrasekhar-Friedman-Schutz instability'. Together they form a unique fingerprint.

Cite this