Dipolar Stellar Oscillations in General Relativity

Details Dipolar Stellar Oscillations in General Relativity Dipolar Stellar Oscillations in General Relativity

Nov 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..948..421t&link_type=abstract

UNSOLVED PROBLEMS IN STELLAR PHYSICS: A Conference in Honor of Douglas Gough. AIP Conference Proceedings, Volume 948, pp. 421-4

Physics

Pulsations, Oscillations, And Stellar Seismology, Relativity And Gravitation

Scientific paper

We have obtained a concise second-order system of equations that describes the adiabatic dipolar oscillation of stars in general relativity, rather than the third-order system which is conventionally used. The new system is derived by utilizing a known algebraic relation, which reduces to the integral of momentum conservation in the Newtonian limit, and by formulating the problem as a Hamiltonian system. The thus-derived system enables us to classify the relativistic dipolar modes unambiguously. We find that there is essentially little difference in the properties of the dipolar stellar oscillation between the general-relativistic case and the Newtonian case.

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