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1

  • A CYLINDRICALLY SYMMETRIC COSMOLOGICAL MODEL IN PRESENCE OF ELECTROMAGNETIC FIELD.



Dr. MANISH KUMAR and ABHISHEK SHARMA

Abstract:
In the present paper taking Cylindrically Symmetric metric of Marder, we have constructed a non-static spatically homogeneous Petrov type I cosmological model assuming the energy momentum tensor to be that of a perfect fluid with an electromagnetic field and the four current is either zero or space like. Various physical and geometrical properties e.g. pressure, density rotation, expansion and shear tensor have been found and discussed. We have also discussed Doppler effect and Newtonian analogue of force in the model.


1-14
2

  • SOME STATIC SOLUTIONS OF EINSTEIN’S FIELD EQUAITONS FOR PERFECT FLUID SPHERE.



Dr. ARBIND KR. SINHA and PUJA KUMARI

Abstract:
The present paper provides some exact interior solutions of the Einstein’s field equations for a static spherically symmetric distribution of perfect fluid using judicious condition on metric potential. These solutions can be joined continuously to the Schwarzschild exterior solution and as such may be applicable to the investigation of stellar interiors where high central density and pressure are significant (i.e. massive bodies like non-rotating neutron stars).


14-22
3

  • SOME EXACT STATIC SPHERICALLY SYMMETRIC SOLUTIONS OF EINSTEIN’S FIELD EQUATIONS FOR THE ZELDOVICH FLUID DISTRIBUTION



Dr. MANISH KUMAR and MAHENDRA KUMAR

Abstract:
This paper provides some exact, static spherically symmetric solution of Einstein’s field equations for the Zeldovich fluid distributions in different cases. Various physical and geometrical properties have been studied.


23-33
4

  • QUADRATIC OPERATORS ON A LINEAR SPACE



Dr. Ajay Kumar

Abstract:
We have defined Quadratic operators on a linear space and also we extend this concept to Hilbert Space. We have studied some interesting theorems on a Quadratic operators which is in connection of spectral family


34-42
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