After initial claims and a long hiatus, it is now established that several
binary stars emit high (0.1-100 GeV) and very high energy (>100 GeV) gamma
rays. A new class has emerged called 'gamma-ray binaries', since most of their
radiated power is emitted beyond 1 MeV. Accreting X-ray binaries, novae and a
colliding wind binary (eta Car) have also been detected - 'related systems'
that confirm the ubiquity of particle acceleration in astrophysical sources. Do
these systems have anything in common ? What drives their high-energy emission
? How do the processes involved compare to those in other sources of gamma
rays: pulsars, active galactic nuclei, supernova remnants ? I review the wealth
of observational and theoretical work that have followed these detections, with
an emphasis on gamma-ray binaries. I present the current evidence that
gamma-ray binaries are driven by rotation-powered pulsars. Binaries are
laboratories giving access to different vantage points or physical conditions
on a regular timescale as the components revolve on their orbit. I explain the
basic ingredients that models of gamma-ray binaries use, the challenges that
they currently face, and how they can bring insights into the physics of
pulsars. I discuss how gamma-ray emission from microquasars provides a window
into the connection between accretion--ejection and acceleration, while eta Car
and novae raise new questions on the physics of these objects - or on the
theory of diffusive shock acceleration. Indeed, explaining the gamma-ray
emission from binaries strains our theories of high-energy astrophysical
processes, by testing them on scales and in environments that were generally
not foreseen, and this is how these detections are most valuable.Comment: 71 pages, 23 figures, minor updates to text, references, figures to
reflect published versio