KALI CHARAN

@mangalayatan.edu.in

Associate Professor
Mangalayatan University Aligarh

KALI CHARAN

EDUCATION

DOCTORATE IN MATHEMATICS

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Astronomy and Astrophysics, Mathematical Physics
4

Scopus Publications

119

Scholar Citations

5

Scholar h-index

5

Scholar i10-index

Scopus Publications

  • Anisotropic shear-free radiating collapse: exact solutions and numerical validation
    Kali Charan, Om Prakash Yadav, B. C. Tewari
    European Physical Journal C, 2026
    We construct a new class of exact solutions for shear-free, spherically symmetric radiating stars undergoing gravitational collapse in the presence of pressure anisotropy. Starting with the static metric potentials, we specialise the parametric family to the inhomogeneous anisotropic subclass $$n=-\,2$$ n = - 2 and carry out a complete dynamical and thermodynamic analysis of this configuration. The interior solution, obtained in closed form, satisfies the standard regularity and energy conditions (null, weak, strong, and dominant), and is matched across the stellar boundary to an exterior Vaidya spacetime through the appropriate junction conditions. The configuration admits an initially static perfect-fluid limit and evolves smoothly into a dissipative collapse driven by radiative heat transport. A numerical study is also performed, wherein the effect of the anisotropy parameter on radial profiles and temporal evolutions of the density, pressures, heat flux, collapse rate, redshift, luminosity, and interior temperature is studied. The energy conditions are verified. The results demonstrate that increasing pressure anisotropy strengthens the matter variables, accelerates the contraction rate and enhances thermal dissipation throughout the radiating phase.
  • Charged anisotropic spherical collapse with heat flow
    Kali Charan, Om Prakash Yadav, B. C. Tewari
    European Physical Journal C, 2021
    In this article, we study the shear-free gravitational collapse of a charged radiating star. The Einstein field equations of gravitational collapse for the charged stars are known to give rise to a high degree of non-linearity in the ordinary differential equation coming from junction conditions. The attempts to solve it analytically proved to be unfortunate. Numerical methods have been suggested in the past. However, the high degree of non-linearity tends to introduce fluctuations and large round off errors in the numerical calculation. A new ansatz is proposed in the present work to reduce the degree of non-linearity. An ordinary differential equation is derived by satisfying junction conditions, and its numerical solution is demonstrated. Physical quantities associated with the collapse process are plotted to observe the effect of charge on these quantities. It is concluded that the charge can delay the collapse of a star and can even prevent it depending upon the amount of charge. It is also verified that the solution satisfies all the energy conditions.
  • Horizon free eternally collapsing anisotropic radiating star
    B. C. Tewari, Kali Charan
    Astrophysics and Space Science, 2015
  • Radiating star, shear-free gravitational collapse without horizon
    B. C. Tewari, Kali Charan
    Astrophysics and Space Science, 2014

RECENT SCHOLAR PUBLICATIONS

  • Anisotropic shear-free radiating collapse: exact solutions and numerical validation
    K Charan, OP Yadav, BC Tewari
    The European Physical Journal C 86 (5), 553 , 2026
    2026.0
  • Charged anisotropic spherical collapse with heat flow
    K Charan, OP Yadav, BC Tewari
    The European Physical Journal C 81 (1), 60 , 2021
    2021.0
    Citations: 16
  • Relativistic Modeling of Gravitationally Collapsing Anisotropic Fluid Ball with Occurrence of Horizon
    K Charan, J Rani
    SRMS Journal of Mathmetical Science 4 (01), 01-08 , 2018
    2018.0
  • Exact Relativistic Modeling of Einstein’s Field Equations for Isotropic Radiating Stars
    K Charan
    SRMS Journal of Mathmetical Science 3 (1), 27-34 , 2017
    2017.0
  • RELATIVISTIC MODELING OF RADIATING FLUID BALL WITH OCCURRENCE OF HORIZON
    K Charan, DP Singh, N Singh
    South East Asian Journal of Mathematics and Mathematical Sciences 12 (02 … , 2016
    2016.0
  • Spherically Symmetric Anisotropic Perfect Fluid ball in General Relativity
    A Sah, P Chandra, K Charan
    South East Asian Journal of Mathematics and Mathematical Science 12, 81-92 , 2016
    2016.0
    Citations: 3
  • Spherical gravitational collapse of anisotropic radiating fluid sphere
    BC Tewari, K Charan, J Rani
    International Journal of Astronomy and Astrophysics 6 (2), 155-165 , 2016
    2016.0
    Citations: 16
  • Horizon free eternally collapsing anisotropic radiating star
    BC Tewari, K Charan
    Astrophysics and Space Science 357 (2), 107 , 2015
    2015.0
    Citations: 30
  • Gravitational collapse, shear-free anisotropic radiating star
    BC Tewari, K Charan
    arXiv preprint arXiv:1503.02165 , 2015
    2015.0
    Citations: 3
  • Spherical Gravitational Collapse of a Radiating Star
    BC Tewari, K Charan, J Rani
    Journal of Ramanujan Society of Mathematics and Mathematical Sciences 4 (02 … , 2015
    2015.0
  • Dissipative Spherical Gravitational Collapse of Isotropic Fluid
    BC Tewari, K Charan
    Journal of Modern Physics 6 (4), 453-462 , 2015
    2015.0
    Citations: 11
  • Gravitational Collapse of a Radiating Star with Radial Heat Flow
    BC Tewari, K Charan
    Proceedings of the National Conference on Recent Advances in Statistical and … , 2015
    2015.0
    Citations: 1
  • A Well Behaved Exact Solution for Spherically Symmetric Perfect Fluid Ball
    BC Tewari, K Charan, P Chandra
    Journal of Ramanujan Society of Mathematics and Mathematical Sciences 4 (02 … , 2015
    2015.0
    Citations: 3
  • Radiating star, shear-free gravitational collapse without horizon
    BC Tewari, K Charan
    Astrophysics and Space Science 351 (2), 613-617 , 2014
    2014.0
    Citations: 36
  • Shear Free Radiating Fluid Ball Without Horizon
    J Rani, K Charan
  • South East Asian J. of Math. & Math. Sci. ISSN: 0972-7752 Vol. 12, No. 2 2016, pp. 81–92 SPHERICALLY SYMMETRIC ANISOTROPIC PERFECT FLUID BALL IN GENERAL RELATIVITY
    A Sah, P Chandra, K Charan
  • South East Asian J. of Math. & Math. Sci. ISSN: 0972-7752 Vol. 12, No. 2 2016, pp. 137-146 RELATIVISTIC MODELING OF RADIATING FLUID BALL WITH OCCURRENCE OF HORIZON
    K Charan, DP Singh, N Singh

MOST CITED SCHOLAR PUBLICATIONS

  • Radiating star, shear-free gravitational collapse without horizon
    BC Tewari, K Charan
    Astrophysics and Space Science 351 (2), 613-617 , 2014
    2014.0
    Citations: 36
  • Horizon free eternally collapsing anisotropic radiating star
    BC Tewari, K Charan
    Astrophysics and Space Science 357 (2), 107 , 2015
    2015.0
    Citations: 30
  • Charged anisotropic spherical collapse with heat flow
    K Charan, OP Yadav, BC Tewari
    The European Physical Journal C 81 (1), 60 , 2021
    2021.0
    Citations: 16
  • Spherical gravitational collapse of anisotropic radiating fluid sphere
    BC Tewari, K Charan, J Rani
    International Journal of Astronomy and Astrophysics 6 (2), 155-165 , 2016
    2016.0
    Citations: 16
  • Dissipative Spherical Gravitational Collapse of Isotropic Fluid
    BC Tewari, K Charan
    Journal of Modern Physics 6 (4), 453-462 , 2015
    2015.0
    Citations: 11
  • Spherically Symmetric Anisotropic Perfect Fluid ball in General Relativity
    A Sah, P Chandra, K Charan
    South East Asian Journal of Mathematics and Mathematical Science 12, 81-92 , 2016
    2016.0
    Citations: 3
  • Gravitational collapse, shear-free anisotropic radiating star
    BC Tewari, K Charan
    arXiv preprint arXiv:1503.02165 , 2015
    2015.0
    Citations: 3
  • A Well Behaved Exact Solution for Spherically Symmetric Perfect Fluid Ball
    BC Tewari, K Charan, P Chandra
    Journal of Ramanujan Society of Mathematics and Mathematical Sciences 4 (02 … , 2015
    2015.0
    Citations: 3
  • Gravitational Collapse of a Radiating Star with Radial Heat Flow
    BC Tewari, K Charan
    Proceedings of the National Conference on Recent Advances in Statistical and … , 2015
    2015.0
    Citations: 1
  • Anisotropic shear-free radiating collapse: exact solutions and numerical validation
    K Charan, OP Yadav, BC Tewari
    The European Physical Journal C 86 (5), 553 , 2026
    2026.0
  • Relativistic Modeling of Gravitationally Collapsing Anisotropic Fluid Ball with Occurrence of Horizon
    K Charan, J Rani
    SRMS Journal of Mathmetical Science 4 (01), 01-08 , 2018
    2018.0
  • Exact Relativistic Modeling of Einstein’s Field Equations for Isotropic Radiating Stars
    K Charan
    SRMS Journal of Mathmetical Science 3 (1), 27-34 , 2017
    2017.0
  • RELATIVISTIC MODELING OF RADIATING FLUID BALL WITH OCCURRENCE OF HORIZON
    K Charan, DP Singh, N Singh
    South East Asian Journal of Mathematics and Mathematical Sciences 12 (02 … , 2016
    2016.0
  • Spherical Gravitational Collapse of a Radiating Star
    BC Tewari, K Charan, J Rani
    Journal of Ramanujan Society of Mathematics and Mathematical Sciences 4 (02 … , 2015
    2015.0
  • Shear Free Radiating Fluid Ball Without Horizon
    J Rani, K Charan
  • South East Asian J. of Math. & Math. Sci. ISSN: 0972-7752 Vol. 12, No. 2 2016, pp. 81–92 SPHERICALLY SYMMETRIC ANISOTROPIC PERFECT FLUID BALL IN GENERAL RELATIVITY
    A Sah, P Chandra, K Charan
  • South East Asian J. of Math. & Math. Sci. ISSN: 0972-7752 Vol. 12, No. 2 2016, pp. 137-146 RELATIVISTIC MODELING OF RADIATING FLUID BALL WITH OCCURRENCE OF HORIZON
    K Charan, DP Singh, N Singh