Gravitational-wave Radiation of Double Degenerates with Extremely Low-mass White Dwarf Companions

Double degenerate (DD) systems are supposed to be significant gravitational-wave (GW) sources for future space-based GW detectors, e.g., the Laser Interferometer Space Antenna (LISA). Recently, one type of DD system with extremely low-mass WD (ELM WD; less than or similar to 0.30 M-;) companions was found in the ELM Survey. These companions have very short orbital periods and are therefore important sources for LISA detection. Further, due to the thick envelope of ELM WDs compared with massive WDs (e.g., CO WDs), they are much easier to find through the combination of electromagnetic (EM) and GW observations. In this paper, we first obtain the population of ELM WDs in DDs by considering the detailed evolutionary tracks of ELM WDs and then analyzing the GW radiation of these systems. We found that about 6 x 10(3) sources could be solely detected by LISA, including similar to 2 x 10(3) chirping sources, and similar to 13 (similar to 107) more sources are expected to be detected by both LISA and the ELM Survey (Gaia).