Specializing in Einstein's General Relativity, he worked extensively on the theory of black holes and made major contributions to this field of research since its very beginning.
Later he developed interest in General Relativity and encouraged by Fuller, transferred to University of Maryland to work with Charles W. Misner.
[4] He proved the stability of the non-rotating Schwarzschild black hole, a crucial factor that ensures its continued existence after formation.
Vishveshwara has also made significant contributions to other areas of general relativity such as the exact solutions of Einstein's field equations, gravitational collapse, compact stellar objects, inertial forces, and spacetime perturbations.
[citation needed] "Black Holes, Gravitational Radiation and the Universe: Essays in Honour of C.V. Vishveshwara,- Bala R. Iyer and Biplab Bhawal(eds)", (Kluwer Academic Publishers (1999)) contains essays contributed by Roger Penrose, Jacob Bekenstein, Abhay Ashtekar, Ashoke Sen etc.