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
Sr |
Name of faculty |
Qualification |
Mobile |
Designation |
1 |
Dr. Vilas R Chirde |
M. Sc., M.Phil., Ph.D. |
9420550689 |
Retired Head and Professor |
|
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2 |
Dr . Vijay P Kadam |
M. Sc.Ph.D |
9423613054 |
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
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 |
|
|
|
|
Dr V P Kadam ( Co-Investigator) |
Details of registered Ph.D. Student
Sr. No. |
Name of student |
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 |
------ |
Admitted for Course work |
Dr. V.P.kadam |
7 |
Shri. Mayur Sudhakar Napte |
--------- |
Admitted for Course work |
Dr. V.P.kadam |
8 |
Shri Yogeshwar Laxmanrao Jadhao |
------ |
Admitted for Course work |
Dr. V.P.kadam |
9 |
Shri. Devendra Ashok Gayane |
--------- |
Admitted for Course work |
Dr. V.P.kadam |
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,
MR. sandip Madhavrao Pawar qualify NET with AIR 213 in April 2022.
Publication of Faculty
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-
7143,Jan-2019
17. Cosmological Models In scalar tensor theory of gravitation with time
dependent deceleration parameter.
V.P.Kadam
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 .