Status of children born from a yefat toar who was converted to judaism after the 30 day period

Question

In parshat Ki Teietze it talks about the yefat torah. If after the 30 days if he still wants to marry her, she is converted to judaism, then he can marry her. Question: Is this conversion a regular normal conversion (which would require her assent, and, at least under the normative view of current Judaism, an extended period of education) through which she becomes a true convert in all aspects? Or is the conversion only partial, where she is not quite jewish?

Answer 1

Special dispensation was given by the Torah to convert a Yefas toar after 30/90 days without her accepting Mitzvos and marrying her according to Yevamos 47b-48 (see below).

• The Rivan in Tosfos says that this Sugia and Psak is in accordance with Rabbi Eliezer that she cries for her parents and does not need to deny avoda zara in-order to become Jewish after those 30/90 days which would mean she is Jewish without accepting Mitzvos. In contrast, Rabbi Akiva would require rebuttal of avoda zara and if she hasn't broken away from avoda zara after a year he should let her free.
• The Rambam Melachim 8,5 however (explained by Kesef Mishne) paskens like Rabbi Akiva that she must deny avoda zara but also includes that she must accept all Mitzvos Which is not so clear from Rabbi Akiva as it could be she only need to deny avoda zara not accept mitzvos see Keren Orah in yevamos 47b.

Everyone agrees, Once converted of course she and her children are fully Jewish (see Kidushin 68b Bellow)
Yevamos 47-48a:

תניא (דברים כא, יג) ובכתה את אביה ואת אמה וגו' בד"א שלא קבלה עליה אבל קבלה עליה מטבילה ומותר בה מיד ר"ש בן אלעזר אומר אע"פ שלא קבלה עליה כופה ומטבילה לשם שפחות וחוזר ומטבילה לשם שחרור ומשחררה ומותר בה מיד...ירח ימים ירח שלשים יום ר"ש בן אלעזר אומר תשעים יום ירח שלשים ימים שלשים ואחר כן שלשים
She should cry 30 days when? if she did not accept Mitzvos i.e she is forced to convert after 30 days (by dipping in Mikva). But if she accepts Mitzvos she can convert instantly. Rabbi shimon Ben Elazar says she can be forced to immerse in Mikva to become a slave as she is captured, and then forced to immerse again to change from a slavewoman to being Jewish even without waiting or accepting Mitzvos...But the Gemora goes on to say Rabanan disagree because even a slave must accept Mitzvos and cannot forcibly convert so the only way specifically regarding Yefas Toar is the method of the Torah to wait 30 days... The Braisa says 30 days litelally, but Rabbi Shimon Ben Elazar says 90 days from the words of the Passuk: Yerach 30 + Yamim 30 + Achar kein 30 = 90.

Once converted after 30/90 days she and her children are fully Jewish therefore Kiddushin (betrothal)works on her, But before 30/90 days he can't do kiddushin on her, and her children from him are not Jewish Kidushin 68b:

אמר קרא (דברים כא, יג) ואחר כן תבוא אליה ובעלתה וגו' מכלל דמעיקרא לא תפסי בה קידושין אשכחן דלא תפסי בה קידושין ולדה כמותה מנלן אמר קרא (דברים כא, טו) כי תהיין לאיש וילדו לו כל היכא דקרינן ביה כי תהיינה קרינן ביה וילדו לו וכל היכא דלא קרינן ביה כי תהיינה לא קרינן ביה וילדו לו