  The Galactic center has some of the highest stellar densities in the Galaxy and a range of interstellar scattering properties that may aid in the detection of new radio-selected transient events. Here we describe a search for radio transients in the Galactic center using over 200 hours of archival data from the Very Large Array (VLA) at 5 and 8.4 GHz. Every observation of SgrA* from 1985$-$2005 has been searched using an automated processing and detection pipeline sensitive to transients with timescales between 30 seconds and five minutes with a typical detection threshold of $\sim$100 mJy. Eight possible candidates pass tests to filter false-positives from radio-frequency interference, calibration errors, and imaging artifacts. Two events are identified as promising candidates based on the smoothness of their light curves. Despite the high quality of their light curves, these detections remain suspect due to evidence of incomplete subtraction of the complex structure in the Galactic center, and apparent contingency of one detection on reduction routines. Events of this intensity ($\sim$100 mJy) and duration ($\sim$100 s) are not obviously associated with known astrophysical sources, and no counterparts are found in data at other wavelengths. We consider potential sources, including Galactic center pulsars, dwarf stars, sources like GCRT J1745-3009, and bursts from X-ray binaries. None can fully explain the observed transients, suggesting either a new astrophysical source or a subtle imaging artifact. More sensitive multiwavelength studies are necessary to characterize these events which, if real, occur with a rate of $14^{+32}_{-12}~{\rm hr}^{-1}\,{\rm deg}^{-2}$ in the Galactic center. 
Transient Events in Archival Very Large Array Observations of the   Galactic Center