Department of Mathematics

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

 

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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. 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

 

Sr

Title of Project

Date of sanction

Amount

Name of principle investigator

01

Study of cosmological models in theories of gravitation.

04-10-2010.

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

15-07-2010

Study of Cosmological Models in General relativity.

2

Shri . Vijay P Kadam

15-07-2011

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

 

 

 

 

 

Facilities Details

  • Class room
  • Internet 
  • Library 

 

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

  • Dr V R Chirde:- i. Attended  Nine Conference, Nine Seminar and Eight Workshops, and presented papers.

ii. Published 23 papers in national and international journals.

  • Shri V P Kadam Attened Three Seminar and two work shop.

It is the matter of great pleasure and proud that,

  • Miss. Bharati R Jadhao, she was topper in 2000-2001, from Amravati University, Amravati.
  •  Miss Suchita O Bondhare after completing her graduation in Mathematics went to America for further education M S.
  • The result of B. Sc. III for 2006-07, 2009-10 is 100%.

 

Publication of Faculty

1] Plane Gravitational Waves In Four Dimensional Space-Time
for Z=((x+y+z)/sqrt(3))-t   
      
      Published in Science journal of GVISH, VOL.I, Feb-2004, and P.N.1-3.

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.