Jainendra Kumar Singh



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  • Profile
  • QualificationsM.Sc., Ph.D.
  • DesignationProfessor
  • DivisionMathematics
  • Contact No.9968184765 (O)
  • E-Mailjainendrrakumar@rediffmail.com, Jainendrakumarsingh72@gmail.com, jksingh@nsit,ac.in

Biosketch

Dr. J. K. Singh is Professor, NSIT, New Delhi. His area of expertise is to study of spatially homogeneous, isotropic and totally anisotropic cosmological models in General Theory of Relativity as well as alternative theories of gravity with observational constraints. Currently, He is  working on inhomogeneous space-times and cyclic universe using various observational constraints and numerical techniques. He has completed his M.Sc. (Mathematics) in 1987 from University of Allahabad and Ph.D. in 1996 from IIT (BHU), Varanasi. He has 21 years teaching experience in Mathematics and 25 years research experience in General Theory of Relativity and Cosmology. He has published 43 research papers in the journals of national as well as international repute. He has presented various research papers, delivered various invited talks, Chaired various sessions in national as well as international conferences. He has also performed various administrative responsibilities at NSIT such as Dy. Supdt and Supdt., Theory Examination; Member, BE admission committee;  Coordinator, Dept. of Mathematics and Officer-in Charge of CM Lab I&II.

Areas of Interest
  1.  Astrophysics,
  2. General Relativity,
  3. Cosmology

(a) Papers in Journals

[1] Singh, J. K. and Shri Ram, A Class of New Bianchi I Perfect Fluid Space-Times,                                  Astrophysics and Space Science, 225, 57-65 (1995).

[2] Shri Ram and Singh, J. K., Some Spatially Homogeneous String Cosmological Models,  General Relativity and Gravitation, 27, 1207-1213 (1995).

[3] Shri Ram and Singh, J. K., Cosmological Models in Certain Scalar-Tensor Theories,    Astrophysics and Space Science, 234, 325-334 (1995).

[4] Singh, J. K. and Shri Ram, Plane Symmetric Mesonic Viscous Fluid Cosmological Models,                Astrophysics and Space Science, 236, 277-284 (1996).

[5] Shri Ram and Singh, J. K., Cylindrically- Symmetric Scalar Waves in General Relativity,
IL Nuovo Cimento, 111B, No. 6, 757-762 (1996).

[6] Singh, J. K. and Shri Ram,  A Study on Totally Anisotropic  Bianchi  type-II  Space – Time,
IL Nuovo Cimento, 111B, No. 12, 1487 (1996).

[7] Singh, J. K. and Shri Ram, String Cosmological Models of Bianchi type-III, Astrophysics          and Space Science, 246, 65-72 (1997).

[8] Singh, J. K. and Shri Ram, Spatially Homogeneous Cosmological Models in Lyra’s Geometry,       IL Nuovo Cimento, 112B, No. 8, 1157 (1997).

[9] Singh, J. K., Some Exact Solutions of String Cosmological Models in Bianchi type- V Space - Time, Astrophysics and Space Science, 281, 585-594 (2002).

[10] Singh, J. K., Two – Fluid Cylindrically- Symmetric Cosmologies, IL Nuovo Cimento, 118B, No. 1, 27-34 (2003).

[11] Singh, J. K., Some Bianchi type-V Bulk Viscous Fluid Cosmological Models, IL Nuovo Cimento, 119B, No. 5, 445-452 (2004).

[12] Singh, J. K., Some Viscous Fluid Cosmological Models, IL Nuovo Cimento, 120B, No. 12, 1259 (2005).

[13] Singh, J. K., Some Cosmological Models with Heat and Null Radiation Flow, Astrophysics and Space Science, 310, 241-244 (2007).

[14] Singh, J. K., Exact Solutions of some Cosmological Models in Lyra Geometry, Astrophysics and Space Science, 314, 361-364 (2008).

[15] Singh, J. K., Cylindrically Symmetric Cosmologies in Lyra Geometry, Astrophysics and Space Science, 317, 39-44 (2008).

[16] Singh, J. K., Some Bianchi type Cosmological Models in Lyra Geometry, International Journal of Modern Physics A, 23, 30 (2008).

[17] Singh, J. K., String Cosmological Models in Lyra Geometry, International Journal of Theoretical Physics, 48, 905 (2009).

[18] Singh, J. K. and Sharma, N. K., Some Bianchi type- II  Cosmological Models in Brans-Dicke Theory , Astrophysics and Space Science, 327, 293 (2010).

[19] Singh, J. K. and Sharma, N. K., Some Exact Solutions of String Cosmological Models in Bianchi type – II  Space – Time, International Journal of Theoretical Physics, 49, 2902 (2010).

[20] Singh, J. K. and Sharma, N. K., Some Bianchi type -II  Cosmological Models in Lyra’s Geometry, International Journal of Modern Physics A, 25, 2533 (2010).

[21] Singh, J. K., Some Cosmological Models in Scalar-Tensor Theories, Modern Physics Letters A, 25, 2363 (2010).

[22] Singh, J. K., Some Bianchi type-V Cosmological Models in Brans-Dicke Theory, International Journal of Modern Physics A, 25, 3817 (2010).

[23] Singh, J. K., Some Bianchi type-V  Cosmological Models in Self-Creation Theory,  IL Nuovo Cimento,  125B, No. 10, 1125 (2010).

[24] Singh, J. K. and Rani, Sarita,  Spatially homogeneous Bianchi type-I universes with variable G and  , International Journal of Theoretical Physics, 52, 3737 (2013).

[25] Singh, J. K. and Sharma, N. K., Spatially homogeneous Bianchi type universe with anisotropic dark energy in Lyra Geometry, The African Review of Physics, 8:0056, 397 (2013).

[26] Singh, J. K. and Sharma, N. K.,  Bianchi type-II  dark energy model in scale covariant theory of  gravitation , International Journal of Theoretical Physics, 53, 461 (2014).

[27] Singh, J. K. and Sharma, N. K., Anisotropic Dark Energy Bianchi type-II  Cosmological Models  in Lyra Geometry, International Journal of Theoretical Physics, 53, 1375 (2014).

[28]  Singh, J. K. and Sharma, N. K.,  Bianchi type - II  Dark Energy Model in f(R,T) gravity, International Journal of Theoretical Physics, 53, 1424 (2014).

[29]  Sharma, N. K. and  Singh, J. K.,  Bianchi type - II  string cosmological model with magnetic field  in f(R,T) gravity, International Journal of Theoretical Physics, 53, 2912 (2014).

[30]  Sharma, N. K. and  Singh, J. K.,  Bianchi type - II  string cosmological model with magnetic field  in  scale covariant theory of  gravitation, International Journal of Theoretical Physics, 53, 4132 (2014).

[31] Singh, J. K. and  Rani, Sarita,    Bianchi type -III cosmological models in Lyra’s Geometry in the presence of massive scalar field, International Journal of Theoretical Physics, 54, 545  (2015).

[32] Sharma, N. K. and  Singh, J. K.,  Bianchi type - II  string cosmological model with magnetic field in Scalar-Tensor Theory of Gravitation,  International Journal of Theoretical Physics, 54, 727  (2015).

[33] Singh, J. K. and Rani, Sarita,  Modified Chaplygin Gas cosmology with statefinder diagnostic in lyra geometry, Applied Mathematics and Computation, 259, 187 (2015).

[34] Sharma, N. K. and  Singh, J. K.,  Some Exact Solutions of Bianchi Type-II String Cosmological Models with Magnetic Field in Brans-Dicke Theory of Gravitation, International Journal of Theoretical Physics, 54, 1633  (2015).

[35] Rani, Sarita,  Singh, J. K. and  Sharma, N. K., Bianchi type-III magnetized string  cosmological models for perfect fluid distribution in  f(R,T) Gravity, International Journal of Theoretical Physics, 54, 1698  (2015).

[36] Rani, Sarita,  Altaibayeva, A., Shahalam, M., Singh, J. K. and Myrzakulov, R., Constraints on cosmological parameters in power-law cosmology, Journal of Cosmology and Astroparticle Physics, 03, 031  (2015), arXiv: 1404.6522v1 [gr-qc].  

[37] Singh, J. K. and Rani, Sarita, Bianchi type-I cosmological model with null radiation Flow, International Journal of Theoretical Physics, 54, 3430 (2015).

[38] Singh, J. K., Sharma, N. K. and Beesham, A., Modified Chaplygin gas cosmology with observational constrains, Applied Mathematics and Computation, 270, 567 (2015).

[39] Kumar, Himanshu and Singh, J. K., The aging problem of twins in Ellipsoidal Coordinates, Modern Physics Letters A, 30, 1550168 (2015).

[40] Singh, J. K. and Rani, Sarita,   Magnetized emergent universe with null radiation flow.  International Journal of Theoretical Physics, 55, 232 (2016).

[41] Singh, J. K. and Rani, Sarita, The Bianchi type-V Dark Energy Cosmology in Self Interacting Brans Dicke Theory of Gravity, arXiv:1601.01265 [gr-qc] (2016).

[42] Singh, J. K., Sharma, N. K. and Beesham, A., A Bianchi type-II dark energy cosmology with decaying  -term in Brans-Dicke theory of gravity, Journal of Physics and Mathematics, 000, 000 (2016).




(b) Papers in Conference Proceedings

[43] Singh, J.  K., Singh, C. P. and  Shri Ram, Totally Anisotropic Bianchi type- II Cosmological Models in Lyra’s Geometry, Proceedings of Mathematical Society (B.H.U.), 11, 83-88 (1995), India.
(c) Papers Communicated for Publication

[44] Singh, J. K., Anisotropic Bianchi type-V cosmology in Lyra geometry.

[45] Singh, J. K., The viscous fluid cosmology in Bianchi type-V Space - Time.

[46] Singh, J. K. and Sharma, N. K., Holographic dark energy model with Time Periodic varying deceleration parameter in Bianchi type-II universe.

[47] Singh, J. K., Sharma, N. K. and Shri Ram, Magnetized viscous fluid string cosmology in in  f(R, T) theory of gravity.

[48] Sharma, N. K., Singh, J. K. and Shri Ram, Magnetized viscous fluid string cosmology in scale-covariant theory of gravity.

[49] Singh, J. K. and Sharma, N. K, Bianchi type-II bulk viscous cosmological models with particle creation in f(R, T) theory of gravity.

[50] Singh, J. K. and Sharma, N. K, Bianchi Type-II Bulk Viscous String Cosmological Model with Magnetic Field and Linearly Varying Deceleration Parameter in Scalar-Tensor Theory of Gravitation.

[51] Singh, J. K. and Sharma, N. K, Solutions of non-linear field equations in anisotropic cosmological model with null radiation flow and magnetic field in f(R, T) gravity. 

[52] Singh, J. K. and Sharma, N. K, Some Exact Solutions of Bianchi type-II Bulk Viscous String Cosmological Model with Magnetic Field in Scale-Covariant Theory of Gravitation.





(d) Papers Presented/Attended in Conferences

[53] Singh, J. K. and Shri Ram, A Class of New Bianchi I Perfect Fluid Space-Times, Symposium on the Early Universe, organized at I.I.T., Madras during Dec. 20-22, 1994.

[54] Singh, J. K., Singh, C. P. and Shri Ram, Totally Anisotropic Bianchi type- II Cosmological Models in Lyra’s  Geometry, 11th Annual Conference of mathematical society (B.H.U.), organized at Dept. of Mathematics, B.H.U., Varanasi-221 005 during Dec. 22-23, 1995.

[55] Singh, J. K., Some Exact Solutions of String Cosmological Models in Bianchi type- V Space - Time, Joint 9th National Conference of the Vijnana Parishad of India on Applied and Industrial Mathematics and 5th Annual Conference of Indian Society of Information Theory and Applications, organized at Dept. of Mathematics, Netaji Subhas Institute of Technology, New Delhi – 110 045 during Feb. 22-24, 2002.

[56] Singh, J. K., Bianchi type – V String Cosmological Models, 17th Annual Conference of Ramanujan Mathematical Society, organized at Dept. of Applied Mathematics, I.T., B.H.U., Varanasi-221 005 during June 10-13, 2002.

[57] Singh, J. K., Two – Fluid Cylindrically – Symmetric Cosmologies, 9th Annual Conference of Gwalior Academy of Mathematical Sciences (GAMS) and All India Workshop on Mathematical Modelling & Computer Simulation, organized at Institute of Technology & Management, Gwalior-474 001 during January 17-19, 2004.

[58] Singh, J. K., Some Bianchi type-V Bulk Viscous Fluid Cosmological Models, 49th Congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM) an International Meet, organized at National Institute of Technology, Rourkela, Orissa-769 008 during Dec. 27-30, 2004.

[59] Singh, J. K., Some Viscous Fluid Cosmological Models, 51st Congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM) an International Meet, organized at Andhra University College of Engineering Visakhapatnam during Dec. 18-21, 2006.

[60] Singh, J. K., Some Inhomogeneous Viscous Fluid Cosmological Models, 53rd Congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM) an International Meet, organized at Osmania University, Hyderabad during Dec. 27-30, 2008.

[61] Singh, J. K., String Cosmological Models in Lyra Geometry, 54th Congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM) an International Meet, organized at Netaji Subhas Institute of Technology, New Delhi-110 078 during Dec. 18-21, 2009.

[62] Singh, J. K. and Sarita Rani, Modified Bianchi type-I Universes with variable   and  , 27th Meeting of the Indian Association for General Relativity and Gravitation, organized at the Department of Physics, H. N. Bahuguna Garhwal University Srinagar (Garhwal), Uttarakhand-246 174 during March 7-9, 2013.

[63] Symposium on Astro-Particle and Nuclear Physics, In Honour of 70th Birthday of Prof. Q. N. Usmani, organized at Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi-110 025 during January 21-22, 2014.

[64] International Conference on Matters of Gravity and the Universe, organized at Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi-110 025 during October 27-29, 2014.

[65] Singh, J. K.,  Anisotropic Dark Energy Bianchi Type- II Cosmological Models in B D Theory of Gravity., 59rd Congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM-14) an International Conference, organized at Alliance College of Engineering and Design, Alliance University, Bengaluru during Dec. 17-20, 2014.




(e) Invited Talk in Conferences

[66] Singh, J. K., A STUDY ON MODIFIED CHAPLYGIN GAS COSMOLOGY WITH OBSERVATIONAL CONSTRAINTS in the conference INTERNATIONAL CONFERENCE ON GENERAL ELATIVITY (ICGR-2015) organized at DEPARTMENT OF MATHEMATICS, SANT GADGE BABA AMRAVATI UNIVERSITY, AMRAVATI MAHARASHTRA, 444602, INDIA during Nov. 25 - 28, 2015.


(f) Organized Talks

[67] Organized a popular talk on “Cosmology” by Prof. Roberto A. Sussman, a senior Researcher in General Relativity and Theoretical Cosmology, Institute of Nuclear Sciences, National University, Mexico a world renowned scientist who had visited Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi under GIAN Scheme of MHRD, Government of India dated February 23, 2016 at NSIT.