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abstract: |
    In the framework of the hypothesis on potential sources of some [$\gamma$]{}–ray bursts being single compact objects of neutron star type with finite surface temperature in the vicinity of the Sun a method of search in the optical range for a corresponding candidate in the region of a powerful short burst localization is considered. The localization region of the GRB790613 event is studied in the [*B, V*]{} and [*R*]{} filters. $B-V$ and $V-R$ colors of 196 objects with a $S/N > 4$ are measured up to the average practical photometric limit $B < 25.7, V < 25.7\ {\rm  and}\  R <
    25.6$ for the whole obtained mosaic of CCD images. No blue objects with $B-V
    < 0$ [and]{} $V-R <0$ were found up to $B \approx 25.2$, which can be interpreted as the absence of a compact object with a temperature $>
    1.5\cdot 10^{5}\,\rm K$ in this direction up to a distance $\approx40$ pc. A probable common upper limit to the temperature of the supposed compact objects in the vicinity of the Sun is indicated based on the accumulated optical and X–ray data. The study of blue ($B-V < 0$) objects in the smallest (in the northern 