Inferring the Presence of Tides in Detached White Dwarf Binaries

Abstract

Tidal interactions can play an important role as compact white dwarf (WD) binaries are driven together by gravitational waves (GWs). This will modify the strain evolution measured by future space-based GW detectors and impact the potential outcome of the mergers. Surveys now and in the near future will generate an unprecedented population of detached WD binaries to constrain tidal interactions. Motivated by this, I summarize the deviations between a binary evolving under the influence of only GW emission and a binary that is also experiencing some degree of tidal locking. I present analytic relations for the first and second derivative of the orbital period and braking index. Measurements of these quantities will allow the inference of tidal interactions, even when the masses of the component WDs are not well constrained. Finally, I discuss tidal heating and how it can provide complimentary information.

6 pages, 1 figure, updated tidal heating model in new draft

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• The ELM Survey. VIII. 98 Double White Dwarf Binaries
• Astrophysics and cosmology with a decihertz gravitational-wave detector: TianGO
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• Nonlinear dynamical tides in white dwarf binaries
• A 1201 s Orbital Period Detached Binary: the First Double Helium Core White Dwarf LISA Verification Binary
• Stars stripped in binaries -- the living gravitational wave sources
• Mass Transfer and Stellar Evolution of the White Dwarfs in AM CVn Binaries
• Masses of White Dwarf Binary Companions to Type Ia Supernovae Measured from Runaway Velocities
• Bayesian parameter-estimation of Galactic binaries in LISA data with Gaussian Process Regression
• The Discovery of Two LISA Sources within 0.5 kpc
• I-Love-Q Relations for Realistic White Dwarfs
• An Eclipsing 47 minute Double White Dwarf Binary at 400 pc
• Tidally excited oscillations in hot white dwarfs
• Measuring mass transfer of AM CVn binaries with a space-based gravitational wave detector
• Ultrashort-period WD binaries are not undergoing strong tidal heating