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This thesis consists of seven scientific papers that cover theproof-of-concept, the development, and discoveries made through the use of theBEER (BEaming, Ellipsoidal, and Reflection) algorithm for searching forcompanions in the light curves from the Kepler and CoRoT space telescopes.  Paper I presents the detection of the ellipsoidal and the beaming effects inthe CoRoT light curve of CoRoT-3, a system of a $22$$M_{\rm Jup}$ brown dwarforbiting an F star with an orbital period of $4.3$ days. This work served as aproof-of-concept that these effects are detectable in the space light curves ofsystems with brown-dwarf or planetary secondaries, thus indicating that similarmodulations may be detected in the light curves of non-transiting systems.  Abridged...  The last study, Paper VII, demonstrates the different strengths and utilityof the BEER search algorithm. It presents the discovery of four short-periodeclipsing binaries in the Kepler light curves, consisting of an A-star primaryand a low-mass WD secondary (dA+WD). The systems show BEER phase modulationstogether with primary and secondary eclipses. These add to the 6 Kepler, and 18WASP, previously known short-period eclipsing dA+WD binaries. The paper showsthat three of the new systems harbor the smallest WDs detected so far in suchbinaries. These three binaries extend the previously known population to oldersystems with cooler and smaller WD secondaries, allowing to test binaryevolution theories in a parameter region not observed before.  The seven papers illustrate the effectiveness of the BEER algorithm infinding both common stellar binaries and rare astrophysical objects. As such,the BEER tool can serve as an important component in the virtual astronomytoolbox for mining the vast astronomical data produced by current and futurephotometric surveys. Abridged.

BEER analysis of Kepler and CoRoT light curves: discovering binaries and exoplanets