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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


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5
  • STUDY OF POLYMER FIBERS



G.R.Yerawar and M. T. Kolhe

Abstract:
Polymer fibers, the synthetic marvels of modern chemistry, have revolutionized the textile industry. These versatile materials, derived from long chains of molecules, offer a wide range of properties that cater to diverse applications, from everyday clothing to high-performance engineering materials. The journey of polymer fibers began in the early 20th century with the development of rayon, an artificial silk-like fiber. This was followed by the introduction of nylon, a fully synthetic fiber with exceptional strength and durability. Since then, the field has witnessed the emergence of numerous other synthetic fibers, each with its unique characteristics. While synthetic fibers have gained popularity in recent decades, natural polymer fibers remain essential for their unique properties and enduring appeal. As consumers become increasingly conscious of sustainability and ethical production, the demand for natural fibers is likely to continue to grow. Synthetic polymer fibers, a marvel of modern chemistry, have revolutionized the textile industry. These man-made fibers, derived from petroleum-based raw materials, offer a wide range of properties that surpass those of natural fibers. Their versatility and durability have made them indispensable in various applications, from clothing to industrial uses.


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