[2] Auerbach was the first child to be born in the Sha'arei Hesed neighborhood of Jerusalem founded by his maternal grandfather, Shlomo Zalman Porush, after whom he was named.Following his marriage, he studied under Zvi Pesach Frank at Kollel Kerem Tzion.[citation needed] His first major published work, Meorei Esh, was the first ever written on the subject of using electricity on Shabbat.[citation needed] He was the brother-in-law of Rabbi Sholom Schwadron, who married his sister Leah.His rulings on medical matters and halacha were summarized and publicized by Yehoshua Neuwirth in his book Shemirat Shabbat Kehilchatah, Abraham S. Abraham in his Nishmat Avraham, and Avraham Steinberg in his Encyclopedia Hilchatit Refuit.