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.
Details of Faculty
Sr 
Name of faculty 
Qualification 
Mobile 
Designation 
1 
Dr. Vilas R Chirde 
M. Sc., M.Phil., Ph.D. 
9420550689 
Associate Professor 


2 
Shri . Vijay P Kadam 
M. Sc. 
9423613054 
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. BransDicke (1961) developed Mach’s principle in a relativistic framework by assuming interaction of inertial masses of fundamental particles with same cosmic scalar field coupled with the large scale distribution of matter of motion. BransDicke theory is a scalar tensor theory of gravitation in which the tensor field is identified with the spacetime 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 RobertsonWalker 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, nonstatic homogenous and isotropic spacetime describe by RW metric. The model is used as a first approximation for the standard bigbang cosmological model of universe.
Ongoing Project
Sr 
Title of Project 
Date of sanction 
Amount 
Name of principle investigator 
01 
Study of cosmological models in theories of gravitation. 
04102010. 
Rs. 90,000/ 
Dr V R Chirde 





Details of registered Ph.D. Student
Sr 
Name of Student 
Date of registration 
Topic 
1 
Shri. Pramod N Rahate 
15072010 
Study of Cosmological Models in General relativity. 
2 
Shri . Vijay P Kadam 
15072011 
Study of Some Physical and geometrical Aspects of Cosmological Models in Gravitation Theries 




Facilities Details
Consultancy
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,
Publication of Faculty
1] Plane Gravitational Waves In Four Dimensional SpaceTime
for Z=((x+y+z)/sqrt(3))t
Published in Science journal of GVISH, VOL.I, Feb2004, and P.N.13.
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.217220, ISSN No. 09706577.
3] Plane Wave Solutions of EinsteinMaxwell Equations Coexisting With Null Fluids and Null Currents
Published in Acta Ciencia Indica Vol. XXXII M, No. 2,2006 P. 619623 (India), ISSN No. 09700455.
4] NonExistence 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.00476269.
5] Some Properties Of Purely Plane Gravitational Waves g_{ij}
Published in Bulletin of the Calcutta Mathematical Society, Vol.30,
No.13, 2007, P.N.712, ISSN No.09708596.
6] The Coordinate System In Which gaα = 0, For The Plane Gravitational Waves Z = (zt) Type & Z = (t/z) Type
Published in Applied Science Periodical in Vol.VIII, No.4, Nov.2006, ISSN No.0972550, P P 265267.
7] (zt)Type Plane Wave Solutions Of Weakened Field Equatoins
Published in Prespacetime Journal, November 2011, Vol.2,Issue11,
PP18541851, ISSN No. 21538301.
8] Plane Gravitational Waves In Four Dimensional SpaceTime
for Z=(sqrt(3)t)/(x+y+z)
Published in Science journal of GVISH, VOL.I, Feb2004, and P.N.1820.
t) Type9] 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” 2426 Oct.2004.]
Reflection des ERA, Mathematical Sciences, Vol. 5, pp. 3744; Feb .2010 ISSN No. 09734597.
11] Some Geometrical Aspect of the Plane Symmetric Spacetime.
Publication in Applied Science Periodical in Vol.XI, No.3, Aug.2009, ISSN No.09725504.
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 spacetime P’
Published in Vidrabha journal of Science, VOL.II, No.1, 2007, P.N.47.
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 425432.
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,Issue1,
PP3341, ISSN No. 21538301.
16] Generalized Peres Plane WaveLike Solutions In General Projective Relativity.
Published in Journal of Vectorial Relativity, JVR, Vol.5, No.1, (2010), P.P 1721, ISSN No. 18566847.
17] “ On The Wave Solution Of The Field Equations Of General Relativity In A Generalized Takeno’s SpaceTime For Z=t/z Type Plane Gravitational Waves”.
Published in Prespacetime Journal, November 2010, Vol.1, Issue9,
PP13761386, ISSN No. 21538301.
18] “Energy Momentum Pseudo Tensor In Higher Dimensional SpaceTime”
Published in Journal of Vectorial Relativity, JVR ,Vol.6, No.1, (2011),P.P 3745,ISSN No. 18566847.
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, Issue5,
PP.651655, ISSN No. 21538301.
20] “Plane Symmetric solutions of EinsteinMaxwell with the CoExistence of Null Fluids and Null Currents”
Published in the African Review of Physics (Aug.2011) 6:0019, PP.161163.
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, Issue9,
PP.13771379, ISSN No. 21538301.
22] “Bianchi TypeV Isotropic Cosmological Model With Strang Quark Matter Attached To Cosmic String”
Published in International Journal of Mathematical Archive3(2),2012
PP.426431, ISSN No. 222935046.
23] “FRW Cosmological Solution in Self Creation Theory”
Published in International Journal of Theorital physics DOI 10.1007/s107730121106x, Feb.2012.