Wiktionary
n. A person honoured at the Jewish brit milah by holding the baby boy before, or as, the mohel performs the circumcision.
Wikipedia
Sandek ( Hebrew: סנדק, "companion of child") is the term for a person honored at a Jewish brit milah ( circumcision) ceremony, traditionally either by holding the baby boy on the knees or thighs while the mohel performs the brit milah or by handing the baby to the mohel. The origin of the term has been attributed to a derivation from the Greek sunteknos (syn meaning plus and tekno meaning child), which means "companion of child.
The Rabbi Moses Isserles (Rema) recorded the practice of the sandek holding the baby on his thighs ( Yoreh Dayah 265:11). The Biur Hagra (YD 265:44) cites the Midrash Shochar Tov that explains that this is based on Psalms 35:10, which states "All my bones shall say: ' YHWH who is like you?'" Midrash outlines how every body part is used in the service of God and says that our thighs participate in the service of God by placing the baby on them during the brit.
The Rema records a custom that a father should not honour the same individual twice with being the sandek for his children. The reason is that the sandek is compared to a kohen (priest) offering the ketoret (incense offering) in the Beit HaMikdash ( Jewish Temple). The procedure regarding the Ketoret is that a Kohen does not perform this Mitzva (commandment) more than once in his lifetime. God rewards the Kohen who offers the Ketoret with wealth. Thus, we want to afford the opportunity to as many Kohanim as possible to become wealthy ( Babylonian Talmud Tractate Yoma 26a). Similarly, we wish to afford as many people as possible to serve as a Sandek and receive God's blessing to become wealthy.
The Vilna Gaon (Gra) (YD 265:45) expresses some skepticism regarding this custom. First, based on its reasoning, the custom should have been that one should not serve more than once as a Sandek for any child, not just two different children of one family. Second, the Gra writes that we have never seen someone become wealthy because he served as a Sandek. Nevertheless, the Aruch Hashulchan (Y.D. 265:34) concludes, we should abide by the custom recorded by the Rema. The Aruch Hashulchan notes, though, that the custom in many locales is that the Rav ( rabbi) of the city serves as the Sandek for all the baby boys. The Aruch Hashulchan justifies this practice by comparing the local Rav to the Kohen Gadol (high priest), who had the right to offer a Korban (sacrifice) or Ketoret any time he desired (see Yoma 14a). Indeed, it is related that the Chazon Ish served as the Sandek for innumerable baby boys. Rabbi Yissocher Frand relates that Rav Yaakov Yitzchak Ruderman (the Rosh Yeshiva (dean) of Yeshivat Ner Yisrael) also served as the Sandek for countless baby boys.
The honor was given traditionally to a single Jewish male: some older family member (grandfather, great-grandfather), a rabbi, or another important male who was observant and righteous. The sandek also wore the tallit (prayer shawl) and held the baby on a pillow while the mohel completed the circumcision. In modern times among some more liberal Jews the sandek may be female or even non-Jewish. At most ceremonies there is only a single sandek, but two are permissible, although more than two is uncommon.
During the brit a chair is sometimes placed next to the sandek's seat. The chair is reserved for the prophet Elijah and remains unoccupied during the ceremony; this practice is derived from the tradition that Elijah protects children from danger. According to some sources the sandek is the "representative" of Elijah.