GOPIKABAI SITARAM GAWANDE MAHAVIDYALAYA

Department Faculty Details

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	Dr. Vijay P. Kadam
	M.Sc.Ph D.
	HOD and Assistant Professor
	Mobile : 9423613054
	E-Mail : kadam.v@gsgcollege.edu.in

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About the Department

The department came into existence in the institute in 1990, coinciding with the inception of the science stream. Since then, a significant number of students have graduated with first-class degrees. Many of these alumni have pursued post-graduation in mathematics and secured prominent positions in various fields.

To cultivate interest in mathematics among our students, we established a "Mathematical Club" within the department. This club organizes student seminars on diverse topics and facilitates discussions on competitive examinations. Annually, our students actively participate in intercollegiate seminar competitions hosted by different colleges. This initiative is supported by the Department of Mathematics, SGB Amravati University, Amravati.

Programs Offered:

• Undergraduate (UG): B.Sc. in Mathematics

• Postgraduate (PG): M.Sc. in Mathematics

• Doctorate (Ph.D.): Ph.D. in Mathematics

Details of Faculty

Sr	Name of faculty	Qualification	Mobile	Designation
1	Dr.  Vilas R Chirde	M. Sc., M.Phil., Ph.D.	9420550689	Retired Head and   Professor
	click here to download profile
2	Dr . Vijay P Kadam	M. Sc.Ph.D	9423613054	Head & Assistant professor
	click here to download profile

 

Research Area

Einstein’s General Theory of Relativity

Einstein’s general theory of relativity is an excellent theory of gravitation that successfully describes gravitational phenomena. It has formed a base for various models of the universe. However, Einstein stated that Mach’s principle is not substantiated in general relativity. In recent years, there has been considerable interest in alternative theories of gravitation that incorporate certain desired features lacking in the original theory.

Brans-Dicke Theory

Brans-Dicke (1961) developed a relativistic framework for Mach’s principle by assuming the interaction of inertial masses of fundamental particles with the same cosmic scalar field coupled with the large-scale distribution of matter in motion. Brans-Dicke theory is a scalar-tensor theory of gravitation in which the tensor field is identified with the spacetime of Riemannian geometry, and the scalar field is alien to geometry.  

1. link.springer.com

link.springer.com

Barber’s Theories

Barber (1982) proposed two modified theories known as self-creation theories. The first theory violates the equivalence principle and is therefore inconsistent. Barber’s second theory is a modification of general relativity to a variable general theory. It predicts local effects that are within observational limits. The consistency of Barber’s second theory motivates the study of cosmological models within this theory. Several cosmologists have studied this theory.

Cosmological Models

Cosmological models play a vital role in understanding the Universe around us. The present-day universe, based on astronomical considerations, appears to be of the Friedmann-Robertson-Walker type. The standard FRW cosmological models prescribe a homogeneous and isotropic distribution for the universe’s matter content and have been quite successful in describing the present state of the universe. Friedmann (1922) was the first to investigate the most general, non-static, homogeneous, and isotropic spacetime described by the RW metric. The model is used as a first approximation for the standard big-bang cosmological model of the universe.

Ongoing Project

Sr	Title of Project	Date of sanction	Amount	Name of principle investigator	(Co-Investigator)
01	Study of cosmological models in theories of gravitation.	04-10-2010.	Rs. 90,000/-	Dr V R Chirde	Dr V P Kadam

 

Details of registered Ph.D. Student

Sr. No.	Name of Research Scholar	Topic	Status	Name of Supervisor
1	Dr. Pramod  N Rahate	Study of cosmological model in general theory of relativity	Awarded	Dr V R Chirde
2	Dr. Vijay P Kadam	Study of Some physical and geometrical aspects of cosmological model in gravitation theories	Awarded	Dr V R Chirde
3	Dr. Salim H Saikh	Physical aspects of cosmological model in modified theories gravity	Awarded	Dr V R Chirde
4	Dr. Rajendra T  Kaple	Study of Mathematical cal model for optimizing of advance network algorithm in cloud computing environment	Awarded	Dr V R Chirde
5	Shri. Sachine V Raut	Consequences of some accelerating cosmological models in modified theories of gravitation	Date of registration 01/09/2019	Dr V R Chirde
6	Shri. Niranjan Bhashkarrao Nawle	Some Aspects of Cosmic Expansion of Universe in Modified Theories of Gravitation	Registration Date 01/09/2022	Dr. V.P.kadam
7	Shri. Mayur Sudhakar Napte	----	Course work Complited	Dr. V.P.kadam
8	Shri Yogeshwar Laxmanrao Jadhao	----	Admitted for Course work	Dr. V.P.kadam
9	Shri. Devendra Ashok Gayane	----	Course work Complited	Dr. V.P.kadam

Facilities Details

• Classroom
• Internet
• Library

• Consultancy

  The department offers consultancy services to students in the region. Students with a keen interest in mathematics and competitive examinations can consult with us. We provide consultancy services through "extra coaching classes" on a charitable basis.

  Extension Activities of the Department

  As competitive examinations require students to solve mathematical questions within a short time, the department organizes a workshop on "Some Mathematical Tricks" using "Vedic Mathematics."

  Achievements & Awards

  Dr. V.R. Chirde:

  • Attended nine conferences, nine seminars, and eight workshops, presenting papers.

  • Published 23 papers in national and international journals.

  Shri V.P. Kadam:

  • Attended national and international conferences, workshops, and seminars, presenting 22 papers.

  • Published 25 papers in national and international journals.

  Student Achievements:

  • Mr. Sandip Madhavrao Pawar qualified NET with AIR 213 in April 2022.

  • Ku. Seema Nagnath Purbuj achieved second merit in 2018.

  • The result of B.Sc. III for 2006-07 and 2009-10 was 100%.

  • Miss. Bharati R. Jadhao was the topper in 2000-2001 from Amravati University, Amravati.

  • Miss Suchita O. Bondhare pursued further education (M.S.) in America after completing her graduation in Mathematics.

Publication Format:

• Title of the article

• Authors

• Journal Name, Volume, Issue, Pages, Year

• ISSN (if available)

Publication List:

1. Non-Existence of 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, pp. [start page] - [end page], Jan-June 2013

   • ISSN: 2278-683X

2. Plane Gravitational Waves In Four Dimensional Space-Time
    

   • V.R. Chirde & V.P. Kadam

   • Prespacetime Journal, Vol. 4, Issue 7, pp. 690-704, August 2013

3. Five Dimensional Space-Time in General Relativity
    

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

   • International Journal of Statistika and Mathematika, Vol. 8, Issue 2, pp. 54-56, 2013

   • ISSN: 2277-2790

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

   • V.R. Chirde, V.P. Kadam

   • International Journal of Scientific Research, Vol. 3, Issue 5, May 2014

   • 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 Archive, Vol. 5, Issue 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, Vol. 3, Issue 8, pp. 1377-1388, 2015

       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., Vol. 3, Issue 05, October 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, Vol. 2, Issue 01, pp. 62-72, 2017

• ISSN: 2454-7271

       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, Vol. 4, pp. 920-930, 2016

• ISSN: 0799-3757

    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 Journal of 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, Vol. 5, Issue 9, September 2018

     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, pp. [start page] - [end page], 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 Research, Vol. 5, Issue 11, November 2018

     15. Decelerating Non-Static Plane Symmetric Cosmological Model with Varying [Specify the varying parameter]

• V.P. Kadam, V.R. Chirde

• International Journal for Research in Applied Science & Engineering Technology, Vol. 7, Issue 1, January 2019

• ISSN: 2321-9653, IC Value: 45.98, SJ Impact Factor: 6.887

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

• V.P. Kadam

• Inter. Research Fellows Association's "Research-Journey", January 2019

• ISSN: 2348-7143, IF: 6.261

    17. Cosmological Models in Scalar Tensor Theory of Gravitation with Time-Dependent Deceleration Parameter

• V.P. Kadam

• Proceedings of the National Conference "NCRTM-2019", Rajural

     18. Non-Static Plane Symmetric Model in Self Creation Theory of Gravitation

• V.P. Kadam

• Ajanta, Vol. VIII, Issue 1, January-March 2019, IF: 5.5

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    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, January-March 2019, IF: 5.5

     20. Anisotropic Dark Energy Cosmological Model in Lyra Geometry

• V.P. Kadam¹, S.N. Bayaskar²

• IJIRSET, Vol. 8, Issue 5, May 2019, IF: 7.089

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

• V.P. Kadam

• IJRASET, Vol. 7, Issue 5, May 2019, IF: 7

    22.  Cosmological Model with Time-Varying Deaccelerating Parameter and Quark Matter and Strange Quark                        Matter in Theory of Gravity

• V.P. Kadam

• Universal Review Scientific and Technology, Vol. 10, Issue 7, July 2019, 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), Vol. 65, Issue 12, December 2019

     24. Axially Symmetric Perfect Fluid Cosmological Model in Modified Theory of Gravity

• V.P. Kadam

• IJRASET, Vol. 10, Issue 12, December 2022, ISSN: 2321-9653

     25. Interacting Two Fluid Viscous Dark Energy Models in Brans-Dicke Theory of Gravitation

• V.P. Kadam

• IJERSTE, Vol. 11, Issue 12, December 2022, ISSN: 2319-7463

       2. Plane Gravitational Waves gij(Z) of the Einstein's Field Equation for Z=((x+y+z)/sqrt(3))-t

• Bulletin of Pure and Applied Sciences, Vol. 24E, No. 1, pp. 217-220, 2005

• ISSN: 0970-6577

       3. Plane Wave Solutions of Einstein-Maxwell Equations Coexisting with Null Fluids and Null Currents

• Acta Ciencia Indica, Vol. XXXII M, No. 2, pp. 619-623, 2006

• ISSN: 0970-0455

       4. Non-Existence of Gravitational Plane Waves with Massive Meson Complex Scalar Waves and Coupled with                    Electromagnetic Waves

• The Mathematics Education, Vol. XLI, No. 3, September 2007

• ISSN: 0047-6269

       5. Some Properties of Purely Plane Gravitational Waves gij

• Bulletin of the Calcutta Mathematical Society, Vol. 30, Nos. 1-3, pp. 7-12, 2007

• ISSN: 0970-8596

       6. The Coordinate System in Which gaα = 0, for the Plane Gravitational Waves Z =  (z-t) Type & Z = (t/z) Type

• Applied Science Periodical, Vol. VIII, No. 4, pp. 265-267, November 2006

• ISSN: 0972-550

      7.  (z-t)-Type Plane Wave Solutions of Weakened Field Equations

• Prespacetime Journal, Vol. 2, Issue 11, pp. 1854-1851, November 2011

• ISSN: 2153-8301

       8. Plane Gravitational Waves in Four Dimensional Space-Time for Z=(sqrt(3)t)/(x+y+z)

• Science Journal of GVISH, Vol. I, pp. 18-20, February 2004

       9. The Coordinate System in Which gaα = 0, for the Plane Gravitational Waves Z = (z-t) Type & Z = (t/z) Type in               Six Dimensions

• Accepted for Publication in Acta Ciencia Indica

    10.  On Plane Gravitational Waves gij(Z), for Z=(sqrt(3)t)/(x+y+z)

• Reflection des ERA, Mathematical Sciences, Vol. 5, pp. 37-44, February 2010

• ISSN: 0973-4597

     11. Some Geometrical Aspects of the Plane Symmetric Spacetime

• Applied Science Periodical, Vol. XI, No. 3, August 2009

• ISSN: 0972-5504

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

• Accepted for Publication in Aryabhatta Research Journal of Physical Sciences, Ara (Bihar), India

     13. The Spacetime P'

• Vidarbha Journal of Science, Vol. II, No. 1, pp. 4-7, 2007

     14. Plane Gravitational Wave of Z=t/z Type of WFE in General Relativity

• Bulletin of the Calcutta Mathematical Society, Kolkata, Vol. 99, No. 4, pp. 425-432, 2007

     15. Z=((x+y+z)/sqrt(3))-t Type Plane Wave Solutions of the Weakened Field Equations in General Relativity

• Prespacetime Journal, Vol. 2, Issue 1, pp. 33-41, January 2011

• ISSN: 2153-8301

     16. Generalized Peres Plane Wave-Like Solutions in General Projective Relativity

• Journal of Vectorial Relativity (JVR), Vol. 5, No. 1, pp. 17-21, 2010

• ISSN: 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

• Prespacetime Journal, Vol. 1, Issue 9, pp. 1376-1386, November 2010

• ISSN: 2153-8301

     18. Energy Momentum Pseudo Tensor in Higher Dimensional Space-Time

• Journal of Vectorial Relativity (JVR), Vol. 6, No. 1, pp. 37-45, 2011

• ISSN: 1856-6847

    19. The Motion of Test Particle in Z=(t/z)-Type Plane Gravitational Waves in Plane Symmetry

• Prespacetime Journal, Vol. 2, Issue 5, pp. 651-655, May 2011

• ISSN: 2153-8301

     20. Plane Symmetric Solutions of Einstein-Maxwell with the Co-Existence of Null Fluids and Null Currents

• African Review of Physics, Vol. 6, pp. 161-163, August 2011

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

• Prespacetime Journal, Vol. 2, Issue 9, pp. 1377-1379, September 2011

• ISSN: 2153-8301

     22. Bianchi Type-V Isotropic Cosmological Model with Strange Quark Matter Attached to Cosmic String

• International Journal of Mathematical Archive, Vol. 3, Issue 2, pp. 426-431, 2012  

• 1. www.ijma.info

• www.ijma.info

•  

• ISSN: 2229-5046

     23. FRW Cosmological Solution in Self Creation Theory

• International Journal of Theoretical Physics, DOI: 10.1007/s10773-012-1106-x, February 2012

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