The Prophet (ﷺ) delivered a Khutbah when the sun eclipsed and he said: 'Amma ba'd (to proceed).'"
Sunan an-Nasa'i Book 16, Hadith 43
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"There was an eclipse of the sun during the time of the Messenger of Allah (ﷺ). He stood and prayed, standing for a very long time, then he bowed for a very long time. Then he stood up and (remained standing) for a very long time, but shorter than the first time. Then he bowed for a very long time, but shorter than the first time. Then he prostrated, then he raised his head and stood for a long time, but it was shorter than the first time. The he stood up and (remained standing) for a long time, but it was shorter than the first time. Then he prostrated, and when he finished his prayer, the eclipse had ended. He addressed the people and praised and glorified Allah, then he said: 'The sun and the moon do not become eclipsed for the death or birth of anyone. If you see that then pray, give in charity, and remember Allah, the Mighty and Sublime.' And he said: 'O Ummah of Muhammad! There is no one who is more jealous than Allah (SWT) when His male or female slave commits Zina. O Ummah of Muhammad, if you knew what I know, you would laugh little and weep much.'"
Sunan an-Nasa'i Book 16, Hadith 42 Next Hadith → "We were with the Prophet (ﷺ) and the sun became eclipsed. He got up and went to the masjid, dragging his garment in haste. The people stood with him and he prayed two rak'ahs as they usually prayed. When the eclipse ended he addressed us and said 'The sun and the moon are two of the signs of Allah (SWT), with which He strikes fear into His slaves. They do not become eclipsed for the death or birth of anyone. If you see either of them being eclipsed, then pray and supplicate until it removed it from you.'"
Sunan an-Nasa'i Book 16, Hadith 44
Sunan an-Nasa'i Book 16, Hadith 42 Next Hadith → "We were with the Prophet (ﷺ) and the sun became eclipsed. He got up and went to the masjid, dragging his garment in haste. The people stood with him and he prayed two rak'ahs as they usually prayed. When the eclipse ended he addressed us and said 'The sun and the moon are two of the signs of Allah (SWT), with which He strikes fear into His slaves. They do not become eclipsed for the death or birth of anyone. If you see either of them being eclipsed, then pray and supplicate until it removed it from you.'"
Sunan an-Nasa'i Book 16, Hadith 44