In the Bhāgavata you'll find that when Ajāmila was claimed by the Viṣṇudūta, when they came from Vaikuṇṭha, they were exactly like Viṣṇu. They had four hands, the same features, same color, and same ornaments and same dress. So those who are promoted to Vaikuṇṭha, they get four hands like Nārāyaṇa. But in the Kṛṣṇaloka, Kṛṣṇa is two-handed. So even in this material world there is one personality, Brahmā, he has got four hands. So we can get also the same body, the same features, the same opulence. Sālokya, sārṣṭi, sāmīpya, sālokya, there are different kinds of liberation. Or sāyujya.
(break) . . . he is saying that Kṛṣṇa has no change of body. He is giving the example just like a diamond or a valuable stone, you'll find a different color. Sometimes you'll find red, sometimes you'll find green, sometimes you'll find some other color, the same stone. Similarly, Kṛṣṇa when appears, that is explained in the Bhāgavatam, He appears in different colors: sometimes in blackish color, sometimes in reddish color. These are explained in the Śrīmad-Bhāgavatam. And in this age Kṛṣṇa appeared in the yellow color, Lord Caitanya. That is explained in the Śrīmad-Bhāgavatam.
kṛṣṇa-varṇaṁ tviṣākṛṣṇaṁ sāṅgopāṅgāstra-pārṣadam yajñaiḥ saṅkīrtana-prāyair yajanti hi su-medhasaḥ (SB 11.5.32) This is explained, authority. There are many other authoritative statements about Lord Caitanya's becoming Kṛṣṇa Himself. Idānīṁ kṛṣṇatām. Śuklo raktas tathā pīta idānīṁ kṛṣṇatāṁ gataḥ (SB 10.8.13). When Kṛṣṇa appeared, the nāma-karaṇa, when Gargamuni was ascertaining His name, he said that "This child, He has other colors," śuklo raktas tathā pīta. Pīta means yellow. That means some other Kali-yuga He appeared as Lord Caitanya. Idānīṁ kṛṣṇatāṁ gataḥ: "Therefore He should be named Kṛṣṇa." These things are there.