Formation and evolution of compact binaries in globular clusters: I.Binaries with white dwarfs

In this paper, the first of a series, we study the stellar dynamical and evolutionary processes leading to the formation of compact binaries containing white dwarfs in dense globular clusters. We examine the processes leading to the creation of X-ray binaries such as cataclysmic variables and AM CVn systems. Using numerical simulations, we identify the dominant formation channels and we predict the expected numbers and characteristics of detectable systems, emphasizing how the cluster sources differ from the field population. We explore the dependence of formation rates on cluster properties and we explain in particular why the distribution of cataclysmic variables has only a weak dependence on cluster density. We also discuss the frequency of dwarf nova outbursts in globular clusters and their connection with moderately strong white dwarf magnetic fields. We examine the rate of Type Ia supernovae via both single and double degenerate channels in clusters and we argue that those rates may contribute to the total SN Ia rate in elliptical galaxies. Considering coalescing white dwarf binaries we discuss possible constraints on the common envelope evolution of their progenitors and we derive theoretical expectations for gravitational wave detection by LISA.