UMARKHED Dist. Yavatmal 445206 (INDIA)
NAAC Reaccredited (3rd cycle) Grade B++ CGPA 2.79 | | Affiliated to Sant Gadge Baba Amravati University

Department of Mathematics - About Department & Faculty

Department Faculty Details
No Image Dr. Vijay P. Kadam
M.Sc.Ph D.
HOD and Assistant Professor
Mobile : 9423613054
E-Mail : kadam.v@gsgcollege.edu.in

About department

The department is existed in the institute in 1990, i.e. at the time of opening of the science stream. Till this academic session number of students passes out with first class degree. Many of them have completed their post graduation in mathematics and occupied higher placement in various fields. 
To orient and create interest in mathematics among the students we have to formed “Mathematical club”  in the department. Under this club we hold the students seminar on different topics and also discuss the problems related with the competitive examination. Every year our students are participated in the intercollegiate seminar competition, which are held at different colleges. This  activity is run by the department of mathematics SGB Amravati University Amravati.

Programmes offered-

UG, PG & Ph.D
B. Sc. , M. Sc.in Mathematics & Ph.D In Mathematics

Details of Faculty



Name of faculty





Dr.  Vilas R Chirde

M. Sc., M.Phil., Ph.D.


Associate Professor


click here to download profile


Dr . Vijay P Kadam

M. Sc.Ph.D


Head & Assistant professor




Research Area

Einstein’s general theory of relativity is an excellent theory of gravitation, which describes gravitational phenomena successively. It has formed a base for various models of the universe. Since Einstein stated that in general theory of relativity Mach’s principle is not substantiated. In recent years there has been considerable interest in alternatives of gravitation by incorporating certain desired features which are lacking in the original theory. Brans-Dicke (1961) developed Mach’s principle in a relativistic frame-work by assuming interaction of inertial masses of fundamental particles with same cosmic scalar field coupled with the large scale distribution of matter of motion. Brans-Dicke theory is a scalar tensor theory of gravitation in which the tensor field is identified with the space-time of Riemannian geometry and scalar field is alien to geometry. Barber (1982) proposed two modified theories known as self- creation theories. But the first theory violets equivalence principle, therefore this theory is inconsistent. Barber’s second theory is a modification of general relativity to a variable general theory and predicts local effects which are within the observational limits. The consistency of Barber’s theory motivates us to study cosmological model in this theory. Several cosmologists studied this theory.

Cosmological models play a vital role in the understanding of the Universe around us. The present day universe appears on astronomical considerations are of  Fridman- Robertson-Walker type. That is the standard FRW cosmological models which prescribes a homogeneous and  isotropic distribution for it’s matter content, has been quite successful in describing the present state of the universe. Fridmann (1922) was the first to investigate the most general, non-static homogenous and isotropic space-time describe by R-W metric. The model is used as a first approximation for the standard big-bang cosmological model of universe.

Ongoing Project



Title of Project

Date of sanction


Name of principle investigator


Study of cosmological models in theories of gravitation.


Rs. 90,000/-

Dr V R Chirde





Dr V P Kadam ( Co-Investigator)


Details of registered Ph.D. Student



Name of Student

Date of registration



Shri. Pramod N Rahate


Study of Cosmological Models in General relativity.


Shri . Vijay P Kadam


Study of Some Physical and geometrical Aspects of Cosmological Models in Gravitation Theries


 Shri. Saikh Salim







Facilities Details



The department also provides the consultancy services to the students of this region. Student having keen interest in mathematics and competitive examination consult with us. On charitable basis we provide consultancy services through “extra coaching class “


Extension Activities of Department

In competition examination student have to solve questions on mathematics in very short duration. Viewing this point the department hold a workshop on “Some Mathematical tricks” to solve the problems by using “Vedic Mathematics”


Achievement & Awards

          ii. Published 23 papers in national and international journals.

It is the matter of great pleasure and proud that,

        MR. sandip Madhavrao Pawar qualify NET with AIR 213 in April 2022.

Publication of Faculty

  1. Non-Existence Plane Gravitational Waves with Massive Scalar Waves and Electromagnetic  Waves.

             V.R.Chirde, V.P. Kadam, S. R. Bhoyar.

            International Journal of Physical, Chemical & Mathematical Sciences, Vol. 2; No. 1:

            ISSN: 2278-683X (Jan-June 2013)1] Plane Gravitational Waves In Four Dimensional Space-Time2Six-          2.  Dimensional Bianchi Type–I Universe with Wet Dark Fluid in General Relativity.

           V. R. Chirde* & V. P. Kadam

           Prespacetime Journal| August 2013 | Volume 4 | Issue 7 | pp. 690-704for Z=((x+y+z)/sqrt(3))-t 

           3.Five Dimensional Space-Time in General Relativity

              V.R.Chirde, V.P. Kadam, S.R. Bhoyar#

             International Journal of Statistika and Mathematika, ISSN: 2277- 2790, Volume 8,


             Issue- 2, 2013 pp 54-56

           4. Bianchi Type Bulk Viscous String Cosmological Models in Modified Theoryof Gravity

                V.R. Chirde. V. P. Kadam

               International Journal of Scientific Research Volume 3, Issue 5, May2014, ISSN:2277-8189 

            5. Bianchi Type V Magnetized Bulk Viscous Massive String Cosmological Model In Scalar-Tensor                         Theory of Gravitation

                  V.R Chirde* ,  V P Kadam #

                   International journal of Mathematical Archieve’-5(10), 2014. 

              6. Bianchi Type V Universe With Wet Dark Fluid In Scalar-Tensor Theory of Gravitation.

                   V R Chirde* ,  V P Kadam #

                   International Journal of Advanced Research (2015), Volume 3, Issue 8,  1377 – 1388

             7. Bianchi  Type V Cosmological Model With  Negative Constant Deceleration Parameter With Wet                     Dark Fluid In Brans-Dicke Theory Of Gravitation

                  V R Chirde* ,  V P Kadam #

                   Inter.Journal of  Innovative Research in Science and Tech. Volume 3, Issue 05, oct-2016.

             8. Accelerating And  Decelerating Cosmological  Models With Strange Quark  Matter Attached  To                       Cosmic String In General Relativity.

V. R. Chirde*,  V. P. Kadam

                  International Journal of Universal Mathematics and Mathematical Sciences ISSN: 2454-   

7271 Volume: 02, Issue: 01, Pages: 62-72,

9. Bianchi Type III Cosmological Models With Strange Quark Matter Attached to String Cloud In Brans-Dicke Theory of Gravitation and General theory of relativity

                        V R Chirde* ,  V P Kadam #

                         Caribbean Journal of Science and Technology ISSN 0799-3757 (2016), Vol.4, 920-930

         10.Kantowski-Sachs universe with Wet Dark Fluid in Saez-Ballester Theory Of Gravity.

                      V R Chirde* ,  V P Kadam #

                Printing Area International Multilingual Research Journal

          11.Perfect Fluid Cosmological Models Filled With Constant Deceleration Parameter In f(R,T) Theory                      Of Gravity

                 V R Chirde* ,  V P Kadam #

            Ayushi international j. Multidisciplinary Research (Karanja)

          12.Kantowski - Sachs Dark Energy Cosmological Model In S – B Theory Of  Gravitation.

                 V P Kadam* ,  S R Bhoyar

             Inter. Jour.of emerging Techno.and Innovative research Sept. 2018, Vol 5, Issue 9      

            13. Axially Symmetric Dark Energy Cosmological Model In Scalar Tensor Theory Of Gravitation                             With   Constant Deceleration Parameter

                   V P Kadam

                   International Journal of Engineering, Science and Mathematics Vol. 7,Issue 10, October

                     2018, ISSN: 2320-0294 Impact Factor: 6.765

             14.Holographic Dark Energy Model With Constant Deceleration Parameter in Scalar Tensor Theory                      Of Gravitation

                    V P Kadam

                    Inter. Journal of Emerging Tech. and Innovative ResearchVol.5, Issue 11,Novem 2018

              15.Decelerating Non-Static Plane Symmetric cosmological Model with Varying  ^

                    V P Kadam, V R chirde

                   International Journal for Research in Applied Science & Engineering   Technology  ISSN:   

                     2321-9653; IC Value: 45.98; SJ Impact Factor:  6.887, Volume 7  Issue I, Jan 2019-

             16.LRS Bianchi Type Cosmological Model Magnetized Anisotropic Dark Energy in Lyra Geometry

                   V P Kadam

                    Inter. research Fellows Association’s“Research-Journey” IF. – 6.261 ISSN –2348-


              17. Cosmological Models In scalar tensor theory of gravitation with time   

                     dependent deceleration parameter.


                       Proceeding of national Conference” NCRTM-2019, at Rajural

               18.Non-static plane symmetric model in self creation theory of gravitation

                     V P Kadam

                       Ajanta, Vol-VIII, issue-1,Jan-March 2019.IF-5.5

             19. Cosmological model with perfect fluid source in  f(R,T) theory of gravity and special form of  DP

                     V P Kadam , P N Rahate

                      Ajanta, Vol-VIII, issue-1,Jan-March 2019.IF-5.5

             20.Anisotropic Dark Energy Cosmological Model in Lyra Geometry                                                                           V P Kadam1 , S.N. Bayaskar 2 ,

                   IJIRSET: May-2019 , Vol.8 issue-5,IF-7.089

              21.Interacting Two Fluid Viscous Dark Energy Models In Scalar-Tensor Theory of Gravitation

                    V.P. Kadam

                      IJRASET May-2019, Vol.7, issue-5, I.F.-7.

                22.Cosmological model with time varying decelerating parameter and Quark Matter and  

                      Strange  quark matter in Theory of Gravity.

                         V P Kadam

                       Universal Review  Scientific and technology. board of Sadhana July-2019  Vol.10, issue- 

                        VII IF. 5.525

                 23.Holographic Dark Energy Model in Brans -Dicke Theory of Gravitation

                       V P Kadam

                       International Journal of Mathematics Trends and Technology (IJMTT) – Volume 65 Issue 12 -                           Dec 2019

                  24. Axially Symmetric Perfect Fluid Cosmological Model In Modified Theory Of Gravity.

                         V P Kadam

                          IJRASET , Volume 10 Issue XII Dec 2022 ISSN: 2321-9653.

                    25. Interacting two fluid viscous dark energy models in Brans-Dicke theory of gravitation.                                         V.P. Kadam,

                            IJERSTE VOL.11 Issue12. Dec 22. ISSN-2319-7463..



2] Plane Gravitational Waves gij(Z) Of The Einstein’s Field  Equation

For Z=((x+y+z)/sqrt(3))-t 
    Published in Bulletin Of Pure and Applied SciencesVol.24E (No.1)       2005; P.217-220, ISSN No. 0970-6577.

3] Plane Wave Solutions of Einstein-Maxwell Equations Coexisting With Null Fluids and Null Currents
Published in Acta Ciencia Indica Vol. XXXII M, No. 2,2006 P. 619-623 (India), ISSN No. 0970-0455.

4] Non-Existence Of Gravitational Plane Waves With Massive Meson  
      Complex Scalar Waves and Coupled With Electromagnetic Waves

Published in The Mathematics Education in Vol.XLI, No.3, Sept. 2007, ISSN No.0047-6269.
5] Some Properties Of Purely Plane Gravitational Waves gij
  Published in Bulletin of the Calcutta Mathematical   Society, Vol.30,
  No.1-3, 2007, P.N.7-12, ISSN No.0970-8596.

6] The Coordinate System In Which gaα = 0, For The Plane Gravitational      Waves Z = (z-t) Type & Z = (t/z) Type 
      Published in Applied Science Periodical in Vol.VIII, No.4, Nov.2006, ISSN No.0972-550, P P 265-267.

 7] (z-t)-Type Plane Wave Solutions Of Weakened Field Equatoins
Published in Prespacetime Journal, November 2011, Vol.2,Issue-11,
 PP1854-1851, ISSN No. 2153-8301.

8] Plane Gravitational Waves In Four Dimensional Space-Time
        for Z=(sqrt(3)t)/(x+y+z) 
Published in Science journal of GVISH, VOL.I, Feb-2004, and P.N.18-20.

t) Type-9] The Coordinate System In Which gaα = 0, For The Plane Gravitational      Waves Z = (z- & Z = (t/z) Type In Six Dimension
       Accepted for Publication in Acta Ciencia Indica.

10] On Plane Gravitational Waves gij(Z),  for Z=(sqrt(3)t)/(x+y+z) 
  [  Accepted for Publication in the proceeding of National Seminar on  
  “Recent trends in Mathematics and its applications” 24-26 Oct.2004.]

Reflection des ERA, Mathematical Sciences, Vol. 5, pp. 37-44; Feb .2010 ISSN No. 0973-4597.

11] Some Geometrical Aspect of the Plane Symmetric Space-time.

     Publication in Applied Science Periodical in Vol.XI, No.3, Aug.2009, ISSN No.0972-5504.

12] Plane Symmetric Inhomogeneous Models in Presence of Massive           Scalar Field and Prefect Fluid Distribution in General Relativity

      Accepted for Publication in Aryabhata Research Journal of Physical         Sciences, Ara (Bihar) India.

13] The space-time P’
    Published in Vidrabha journal of Science, VOL.II, No.1, 2007, P.N.4-7.

14] Plane gravitational wave of Z=t/z -type of WFE in general relativity,
     Published in Bulletin of the Calcutta Mathematical Society Kolkata     Vol.99, No.4, (2007),PP 425-432.
15] Z=((x+y+z)/sqrt(3))-t -type plane wave solutions of the weakened field equations         in general relativity,
   Published in Prespacetime Journal, January 2011, Vol.2,Issue-1,
 PP33-41, ISSN No. 2153-8301.

16] Generalized Peres Plane Wave-Like Solutions In General Projective         Relativity.
Published in Journal of Vectorial Relativity, JVR, Vol.5, No.1, (2010), P.P 17-21, ISSN No. 1856-6847.

17]  “ On The Wave Solution Of The Field Equations Of General Relativity In A Generalized Takeno’s Space-Time For Z=t/z -Type Plane Gravitational Waves”.

Published in Prespacetime Journal, November 2010, Vol.1, Issue-9,
 PP1376-1386, ISSN No. 2153-8301.

18] “Energy Momentum Pseudo Tensor In Higher Dimensional Space-Time”
Published in Journal of Vectorial Relativity, JVR ,Vol.6, No.1, (2011),P.P 37-45,ISSN No. 1856-6847.

19] “The motion of test particle in Z=(t/z)-type plane gravitational waves in       plane symmetry” 

Published in Prespacetime Journal, May 2011, Vol.2, Issue-5,
 PP.651-655, ISSN No. 2153-8301.

20] “Plane Symmetric solutions of Einstein-Maxwell with the Co-Existence of  Null Fluids and Null Currents”

Published in the African Review of Physics (Aug.2011) 6:0019, PP.161-163.

21] “The Z= (t/z)-Type Plane Gravitational Waves and Electromagnetic Waves with Massless Scalar Plane Waves and Massive Scalar Waves in Plane Symmetry”

Published in Prespacetime Journal, September 2011, Vol.2, Issue-9,
 PP.1377-1379, ISSN No. 2153-8301.

22] “Bianchi Type-V Isotropic Cosmological Model With Strang Quark Matter Attached To Cosmic String” 

Published in International Journal of Mathematical Archive-3(2),2012 
 PP.426-431, ISSN No. 22293-5046.

23] “FRW Cosmological Solution in Self Creation Theory”

Published in International Journal of Theorital physics DOI 10.1007/s10773-012-1106-x, Feb.2012.

Students of Mathematics Department participated in university level students seminars compitation held at science college murtizapur and Rutuja shinde got second prize .

News & Notice

Ph. D. programme and Course work admission for the session 2021- 22

Gopikabai Sitaram Gawande Mahavidyalaya, Umarkhed is offering Ph. D. programme and Course work admission for the session 2021- 22 in the following subject as per SGBAU letter No. 31/2022; Dated 21/05/2022.


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