Compact objects for everyone: I. White dwarf stars, Jackson et al.
One Mass-Radius relation for Planets, White Dwarfs and Neutron Stars, D. Lynden-Bell, J.P. O'Dwyer
The Properties of Matter in White Dwarfs and Neutron Stars, Balberg, Shapiro
The Structure and Origin of Magnetic Fields on Accreting White Dwarfs, Reinsch et al.
The accretion and spreading of matter on white dwarfs, Fisker, Balsara, Burger
Spreading of Accreted Material on White Dwarfs, Piro, Bildsten
Thermonuclear Runaways on Accreting White Dwarfs: Models of Classical Novae Explosions, Hernanz, Jose
Type Ia Supernova Explosion Models, Hillebrandt, Niemeyer
Seismology of Accreting White Dwarfs, Arras, Townsley, Bildsten
Pulsational Instabilities in Accreting White Dwarfs, Arras, Townsley, Bildsten
Computational Asteroseismology, Metcalfe
Asteroseismology for the Masses, Metcalfe
Lessons for Asteroseismology from White Dwarf Stars, Metcalfe
A deeper understanding of white dwarf interiors, Metcalfe
A new white dwarf constraint on the rate of change of the gravitational constant, Biesiada, Malec
Constraining Gravitational Theories by Observing Magnetic White Dwarfs, Preuss et al.
An astronomical search for evidence of new physics: Limits on gravity-induced birefringence from the magnetic white dwarf RE J0317-853, Preuss et al.
Maybe you first would like to know about Seismic waves.
http://en.wikipedia.org/wiki/Seismic_waves
or want to learn about helioseismology
http://solarphysics.livingreviews.org/Articles/lrsp-2005-6/download.html
where you can learn the basic concepts.
Helioseismology, Christensen-Dalsgaard
http://www.obs-nice.fr/grec/astrosismologie.html
Lecture Notes on Stellar Oscillations by Christensen-Dalsgaard
Links to many introductory sites
http://soi.stanford.edu/papers/heliobiblio.html
T. Brown, "Asteroseismology", Annual Review of Astronomy and Astrophysics, Volume 32, pages 37-82, 1994.
"Seismic Observations of the Solar Interior", Annual Review of Astronomy and Astrophysics, Volume 29, pages 627-685, 1991. Gough and Toomre,
J. Harvey, "Sounding Out the Sun," Physics Today, October 1995, pages 32-38.