At the beginning of the Padma Kalpa, Bhagwan entrusted Brahmaji, who was seated upon a lotus, with the task of advancing the creation of the universe. Concerned about how creation would develop, Brahmaji became deeply absorbed in concentration, and his body divided into two forms—a man and a woman, Manu and Shatarupa.
Because Manu had manifested through Brahmaji’s own sankalp (resolve), he became known as Swayambhuva Manu. The woman was called Shatarupa because she attracted all through her many forms. Brahmaji instructed the couple to assist in the expansion of creation. Manu then asked for a place where they could reside, as the demon Hiranyaksha had kidnapped the Earth (Bhudevi) down into the Rasatal lok.
Unable to provide them with a place to live, Brahmaji earnestly prayed to Bhagwan for guidance. The merciful Bhagwan immediately answered his prayer. While Brahmaji was absorbed in meditation, he sneezed, and from him Bhagwan manifested in the form of a white boar, no larger than a thumb. Before anyone could comprehend this extraordinary sight, Bhagwan Varah grew to the enormous size of an elephant. He roared like a cloud and, within moments, entered the cosmic ocean.
Around this time, Hiranyaksha, filled with pride after defeating the devs and demons, approached Naradji and asked, “Where is Vishnu?” Naradji pointed toward the water. Hiranyaksha was now ready to challenge Bhagwan.
Hiranyaksha entered the ocean and encountered Bhagwan Shree Varah carrying the earth upon His two tusks. Although Hiranyaksha continued to roar at Him, Bhagwan paid no attention. He first emerged from the ocean and restored the Earth to its proper place. Only then did He answer Hiranyaksha’s challenge by engaging him in battle. Bhagwan defeated Hiranyaksha and also granted him moksh.
Because Bhagwan Varah manifested in the form of a white boar, this Kalpa came to be known as the Shweta Varah Kalpa. After the Earth (Bhudevi) was rescued, the dialogue between Bhudevi and Bhagwan is described in detail in the Varah Puran. The Charitra of Bhagwan Varah is also described in various other scriptures with slight variations.
Thus, Bhagwan Varah manifested for the deliverance of the earth.