The Optical Gravitational Lensing Experiment. Variable stars in the Sculptor dwarf speroidal galaxy

The central area of the Sculptor dwarf galaxy was surveyed for variable stars as a side-program of the OGLE project. Light curves in the V band were obtained for 226 RR Lyr stars and for 3 anomalous cepheids. One previously unknown anomalous cepheid was identified. We discovered also two variables located at the tip of the red giant branch of Sculptor. Out of 226 RR Lyr variables 135 were classified as RRab, 88 as RRc and 2 as RRd. Distribution of periods for RRab stars shows a sharp cut-off at P=0.475 days. This implies that the bulk of Sculptor RR Lyr stars has metallicity [Fe/H]\leq -1.7 on the Zinn-West scale. The average V magnitudes of RRab variables are correlated with their periods. This effect is most probably caused by the spread of metallicities exhibited by variables. Based on the average V magnitudes of RR Lyr stars the apparent distance modulus of Sculptor was determined at (m-M)_{V}=19.71. The color-magnitude diagram of Sculptor reaching V\approx 21.4 and I\approx 20.6 is presented. The observed width of the upper part of the red giant branch indicates range of metallicities -2.2\leq [Fe/H]\leq -1.6 for the Sculptor giants. The observed distribution of stars along the horizontal branch and average value of metallicity imply that age of Sculptor is similar to ages of the relatively young globular clusters from the outer galactic halo. The data about RR Lyr variables in four nearby dwarf galaxies are summarized and discussed briefly.