Generalization of Vaidya’s Metric for A Radiating Star to Rotating Star



  • J.J Rawal The Indian Planetary Society (IPS), B-201, Vishnu Apartment, Lokmanya Tilak Road, Borivali (West), Mumbai – 400092 (India)
  • Bijan Nikouravan * Department of Physics, Islamic Azad University (IAU),Varamin, Pishva Branch, Iran



Vaidya metric for a radiating star, its generalization to a slowly rotating star


Schwarzschild's external solution of Einstein’s gravitational field equations in the general theory of relativity for a static star has been generalized by Vaidya [1], taking into account the radiation of the star. Here, we generalize Vaidya’s metric to a star that is rotating and radiating. Although, there is a famous Kerr solution [2] for a rotating star, but here is a simple solution for a rotating star which may be termed as a zero approximate version of the Kerr solution. Results are discussed.


Download data is not yet available.


P. C. Vaidya, "The gravitational field of a radiating star," in Proceedings of the Indian Academy of Sciences-Section A, 1951, vol. 33, no. 5, p. 264: Springer.

R. P. J. P. r. l. Kerr, "Gravitational field of a spinning mass as an example of algebraically special metrics," vol. 11, no. 5, p. 237, 1963.

P. J. c. s. Chunilal Vaidya, "The external field of a radiating star in general relativity," vol. 12, p. 183, 1943.

V. Narlikar and P. J. N. Vaidya, "A Spherically Symmetrical Non-Static Electromagnetic Field," vol. 159, no. 4045, pp. 642-642, 1947.

P. J. N. Vaidya, "A Radiation-absorbing Centre in a Non-statical Homogeneous Universe," vol. 166, no. 4222, pp. 565-565, 1950.

V. J. M. N. o. t. R. A. S. Narlikar, "The stability of a particle in a gravitational filed," vol. 96, p. 263, 1936.

V. J. T. L. Narlikar, Edinburgh,, D. P. Magazine, and J. o. Science, "II. The concept and determination of mass in Newtonian mechanics," vol. 27, no. 180, pp. 33-36, 1939.

V. Narlikar, D. J. T. L. Moghe, Edinburgh,, D. P. Magazine, and J. o. Science, "LXXXVII. Some new solutions of the differential equation for isotropy," vol. 20, no. 137, pp. 1104-1108, 1936.

V. Narlikar and P. J. P. N. I. S. Vaidya, "Non-static electromagnetic fields with spherical symmetry," vol. 14, p. 53, 1948.

A. J. S. Einstein, "Relativity, thermodynamics and cosmology," vol. 80, no. 2077, pp. 358-358, 1934.



How to Cite

Rawal, J., & Nikouravan *, B. (2021). Generalization of Vaidya’s Metric for A Radiating Star to Rotating Star: Astrophysics. Hyperscience International Journal, 1(1), 1–7.