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1

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

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

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

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\r\n


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5

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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6

1. Dr. Manish Kumar 2. Kanchan Singh

Abstract:
In this paper, we have considered the problems of static fluid sphere in Einstein-Cartan theory. Adopting Tolman’s technique, we have solved the field equations by taking a suitable choice of metric potentials g_44 in different cases. we have also calculated pressure, density and spin density and constant appearing in the solutions have been found using boundary conditions.


53-59
7

Sunil Yadav1 Dr. Kuldeep Kumar2

Abstract:
Artificial intelligence and cloud computing the fifth-generation mobile network (5G), which serves as the primary enabler of Industry 4.0, has made it possible to achieve digital transformation and smart manufacturing. B5G, on the other hand, is seen as a turning point that would radically change present worldwide trends in wireless communication practices as well as in the lives of masses of people. Convergence between the physical and digital worlds is something that B5G envisions for the future. The purpose of this research is to investigate the world beyond 5G, with the transition to 6G taking the lead as the most advanced wireless communication technology of the future. However, despite the fact that there have been a number of advancements, the fantasy of a time without latency, internet speeds that have never been seen before, and contact with alien beings has not yet become a reality. This article examines the primary obstacles and difficulties that the transition from 5G to 6G has the potential to encounter in order to realize these more lofty goals. The purpose of this article is to provide a vision for sixth-generation wireless wireless networks, which will facilitate technological infrastructures, challenges, and research that will lead to the eventual realization of the "technology for humanity" aim and improved service to disadvantaged individuals.


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