After finishing his Bachelor of Science from Ramakrishna Mission Residential College, Narendrapur[2] in Physics Honours in 1979 (and becoming topper of Calcutta University[3]) he went to IIT, Kanpur to complete his M.Sc.

Liang on a Theorem on "Time like Curves of limited acceleration in General Relativity",[4] and under S. Chandrasekhar's supervision solved the Dirac equation for massive particles with spin in Kerr geometry.

[8][9] After a brief period at ICTP, Trieste, where Chakrabarti completed a few definitive work on the formation of shocks in transonic/advective flows around black holes, he joined Tata Institute of Fundamental Research, and S.N.

He and his collaborators studied many aspects of these flows and showed that the black hole accretion must have non-Keplerian component which plays a major role in deciding the observational properties.

[13] Chakrabarti was the first scientist to suggest that Gamma-ray bursts are the birth cry of black holes at his presentation in 1995, third Huntsville, Alabama Conference.