Falash Mura
Falash Mura is the name given to descendants of the Beta Israel community in Ethiopia who converted to Christianity, primarily as a consequence of Western proselytization during the late 19th and early 20th centuries. This term also includes Beta Israel who did not adhere to any Ethiopian Jewish practices, as well as the aforementioned historical converts to Christianity. While most voluntarily converted, some were also forcibly converted against their will, or felt compelled to convert due to economic hardship and social exclusion in a majority Christian population. Many have made it to Israel but there are around 12,000 members of the Beta Israel communities in Addis Ababa and Gondar who are awaiting Aliyah, according to community records and lists compiled by SSEJ, which are in the hands of Israel's Ministry of the Interior. As of around 2010, Israeli officials claimed that many of the Falash Mura converted back to Christianity once safely out of Africa, however activists claimed that most Falash Mura converted to Judaism permanently. Terminology 

The original term that the Beta Israel gave to the converts was "Faras Muqra" ("horse of the raven") in which the word "horse" refers to the converts and the word "raven" refers to the missionary Martin Flad who used to wear black clothes. This term derived the additional names Falas Muqra, Faras Mura and Falas Mura. In Hebrew the term "Falash Mura" (or "Falashmura") is probably a result of confusion over the use of the term "Faras Muqra" and its derivatives and on the basis of false cognate it was given the Hebrew meaning Falashim Mumarim ("converted Falashas"). In Ge'ez, the original language of the Bet Israel Falasha means "cut off". This term was coined due to the people of Bet Israel's resistance in converting to Christianity, as Judaism was the old religion of Ethiopia. The actual term "Falash Mura" has no clear origin. It is believed that the term may come from the Agau and means "someone who changes their faith." History 
In 1860, Henry Aaron Stern, a Jewish convert to Christianity, traveled to Ethiopia in an attempt to convert the Beta Israel community to Christianity. Conversion to Christianity
For years, Ethiopian Jews were unable to own land and were often persecuted by the Christian majority of Ethiopia. Ethiopian Jews were afraid to touch non-Jews because they believed non-Jews were not pure, which also ostracized them from their Christian neighbors. For this reason, many Ethiopian Jews converted to Christianity to seek a better life in Ethiopia. The Jewish Agency's Ethiopia emissary, Asher Seyum, says the Falash Mura "converted in the 19th and 20th century, when Jewish relations with Christian rulers soured. Regardless, many kept ties with their Jewish brethren and were never fully accepted into the Christian communities. When word spread about the aliyah, many thousands of Falash Mura left their villages for Gondar and Addis Ababa, assuming they counted." In the Achefer woreda of the Mirab Gojjam Zone, roughly 1,000–2,000 families of Beta Israel were found. There may be other such regions in Ethiopia with significant Jewish enclaves, which would raise the total population to more than 50,000 people. Return to Judaism 
The Falash Mura did not refer to themselves as members of the Beta Israel, the name for the Ethiopian Jewish community, until after the first wave of immigration to Israel. Beta Israel by ancestry, the Falash Mura believe they have just as much of a right to return to Israel as the Beta Israel themselves. Rabbi Ovadiah Yosef, a major player in the first wave of Beta Israel immigration to Israel, declared in 2002 that the Falash Mura had converted out of fear and persecution and therefore should be considered Jews. Aliyah to Israel 
Today, Falash Mura who move to Israel must undergo conversion on arrival, making it increasingly more difficult for them to get situated into Israeli society. The Beta Israel who immigrated and made Aliyah through Operation Moses and Operation Solomon were not required to undergo conversion because they were accepted as Jews under the Law of Return. On February 16, 2003, the Israeli government applied Resolution 2958 to the Falash Mura, which grants maternal descendants of Beta Israel the right to immigrate to Israel under the Israeli Law of Return and to obtain citizenship if they convert to Judaism. Controversy 
Today, both Israeli and Ethiopian groups dispute the Falash Mura's religious and political status. The Israeli government fears that these people are just using Judaism as an excuse to leave Ethiopia in efforts to improve their lives in a new country. Right-wing member of the Israeli Knesset Bezalel Smotrich was quoted saying, "This practice will develop into a demand to bring more and more family members not included in the Law of Return. It will open the door to an endless extension of a family chain from all over the world," he wrote, according to Kan. "How can the state explain in the High Court the distinction it makes between the Falashmura and the rest of the world?" Although the government has threatened to stop all efforts to bring these people to Israel, they have still continued to address the issue. In 2018, the Israeli government allowed 1,000 Falash Mura to immigrate to Israel. However, members of the Ethiopian community say the process for immigration approval is poorly executed and inaccurate, dividing families. At least 80 percent of the tribe members in Ethiopia say they have first-degree relatives living in Israel, and some have been waiting for 20 years to immigrate. See also

 History of the Jews in Ethiopia, for a general overview of historical Judaism in the region. Beta Abraham, a similar group thought to predate the conversions of the Falash Mura, and possibly pre-dating the widespread Christianization of Ethiopia. A more syncretic religious group, with a mix of (presumably) pre-Christian pagan, Judaic, and Christian elements. They consider themselves Jews, despite their lack of acceptance by the majority of either the Beta Israel and Ethiopian Christians. References

Further reading
Samuel Gobat, Journal of a three years' residence in Abyssinia: in furtherance of the objects of the Church Missionary Society, Hatchard & Son; and Seeley & Sons, 1834
Henry Aaron Stern, Wanderings among the Falashas in Abyssinia: Together with Descriptions of the Country and Its Various Inhabitants, Wertheim, Macintosh, and Hunt, 1862
Johann Martin Flad, The Falashas (Jews) of Abyssinia, W. Macintosh, 1869
Eric Payne, Ethiopian Jews: the story of a mission, Olive Press, 1972
Steven Kaplan, "The Beta Israel (Falasha) Encounter with Protestant Missionaries: 1860-1905", Jewish Social Studies 49 (1), 1987, pp. 27–42
Michael Corinaldi, Jewish identity: the case of Ethiopian Jewry, Magnes Press, 1998, 
Daniel Frieilmann, "The Case of the Falas Mura" in Tudor Parfitt & Emanuela Trevisan Semi (Editors), The Beta Israel in Ethiopia and Israel: Studies on Ethiopian Jews, Routledge, 1999, 
Don Seeman, "The Question of Kinship: Bodies and Narratives in the Beta Israel-European Encounter (1860-1920)", Journal of Religion in Africa, Vol. 30, Fasc. 1 (Feb., 2000), pp. 86–120
Emanuela Trevisan Semi, "The Conversion of the Beta Israel in Ethiopia: A Reversible "Rite of Passage"", Journal of Modern Jewish Studies 1 (1), 2002, pp. 90–103
Don Seeman, One People, One Blood: Ethiopian-Israelis and the Return to Judaism, Rutgers University Press, 2010, 

Converts to Christianity from Judaism
Beta Israel
Christianity in Ethiopia
Christianity in Eritrea