AR Scorpii and possible gravitational wave radiation from pulsar white dwarfs

Abstract

In view of the new recent observation and measurement of the rotating and highly-magnetized white dwarf AR Scorpii \cite{Marsh:2016uhc}, we determine bounds of its moment of inertia, magnetic fields and radius. Moreover, we investigate the possibility of fast rotating and/or magnetized white dwarfs to be source of detectable gravitational wave (GW) emission. Numerical stellar models at different baryon masses are constructed. For each star configuration, we compute self-consistent relativistic solutions for white dwarfs endowed with poloidal magnetic fields by solving the Einstein-Maxwell field equations in a self-consistent way. The magnetic field supplies an anisotropic pressure, leading to the braking of the spherical symmetry of the star. In this case, we compute the quadrupole moment of the mass distribution. Next, we perform an estimate of the GW of such objects. Finally, we show that the new recent observation and measurement pulsar white dwarf AR Scorpii, as well other stellar models, are able to generate gravitational wave radiation that lies in the bandwidth of the discussed next generation of space-based GW detectors DECI-hertz interferometer Gravitational wave Observatory (DECIGO) and Big Bang Observer (BBO).

Accepted for publication on MNRAS

References in corpus (7)

• A radio pulsing white dwarf binary star
• New mass limit for white dwarfs: super-Chandrasekhar type Ia supernova as a new standard candle
• An ultra-massive fast-spinning white dwarf in a peculiar binary system
• Effects of the quark-hadron phase transition on highly magnetized neutron stars
• Mass-radius relation of strongly magnetized white dwarfs: nearly independent of Landau quantization
• The internal composition of proto-neutron stars under strong magnetic fields
• General Relativistic White Dwarfs and Their Astrophysical Implications

Cited by in corpus (8)

• Anisotropic magnetized white dwarfs: Unifying under- and over-luminous peculiar and standard type Ia supernovae
• Gravitational waves from fast-spinning white dwarfs
• Detection possibility of continuous gravitational waves from rotating magnetized neutron stars
• Modified virial theorem for highly magnetized white dwarfs
• Prospects for the Observation of Continuous Gravitational Waves from Deformed Fast-spinning White Dwarfs
• Very Magnetized White Dwarfs with Axisymmetric Magnetic Field and the Importance of the Electron Capture and Pycnonuclear Fusion Reactions for their Stability
• Gravitational Wave Emission by Accretion of Matter and Magnetic Deformation in Fast Rotating White Dwarfs
• VLBI astrometry on the white dwarf pulsar AR Scorpii