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Item Digital color image encryption generated by permutation layer and chen’s hyperchaotic system(UMT Lahore, 2023) Qasim AliData encryption and cryptography have many uses, including secure internet communications, medical informatics, security locks, multimedia systems, and secure information sharing (military forces), among others. A wall and a private encryption method are created by using chaotic or hyper-chaotic properties of the system, such as processing capacity, sensitivity, randomness, regularity, and a unique secret key. In this research, "Digital Color Image Encryption generated by Chen's hyper-chaotic system" is used to process digital image encryption, which adjusts color images to cipher images. This method demonstrates good and effective encryption and increases sensitivity in case of any cryptographic attack on the encrypted information.Item Modeling of tilted stellar objects in F(G, T) gravity(UMT Lahore, 2023-07-26) Sobia SadiqThe purpose of this effort is to find out role of tilted and non-tilted congruence in the dynamics dissipative Lemaitre-Tolman-Bondi space-time in f(G, T) gravity, where T is stress energy momentum tensor and G represents Gauss-Bonnet invariant. We use kinematical and dynamical variables to discuss the inhomogeneity factor and its evolution. It has been discovered that emergence of the inhomogeneity factor depends upon heat flux, shear tensor, and expansion scalar for tilted observer, whereas for non-tilted observers, it depends upon the shear tensor. Additionally, we investigate non-tilted congruence stability requirements in the presence of a dark source terms and deduce that instability of the non-tilted congruence is caused by expansion. We also observed that Einstein tensor is same for both tilted and non-tilted congruence and energy density is standard for both tilted and non-tilted observer.Item Stability analysis of compact objects in the framework of 𝒇(𝑹, 𝑻) gravity through cracking technique.(UMT Lahore, 2023-07-21) Ali RazaIn this thesis, cracking technique is developed in the framework of f (R, T ) gravity, for spherically symmetric compact sources. The characteristics of a star with anisotropic properties are investigated by utilizing the Tolman-Kuchowicz spacetime solutions. Modified field equations are developed for a particular model i.e., f (R, T ) = R + 2γT , where γ is constant, R denotes Ricci scalar and T stands for trace of energy momentum tensor of considered anisotropic matter configuration. The modified field equations are used to develop expressions for matter density, radial and tangential pressures. A generalized form of the Tolman Oppenheimer Volkoff (TOV) equation is developed for the modified field equations. The consequence of the local density perturbation scheme, as presented by Biswas et al. [1] is considered for the analysis of Vela X-1, Cen X-3, SMC X-1, PSR J 1614-2230 and PSR J 1903+327. The graphical analysis of these stars have been observed to check the stability regions. The results of cracking/overturning for various values of the parameters involved in this model are observed by checking the instability regions in the form of intervals. The specific intervals shows the stability criteria of these compact objects in which there is no disturbance occurs in the form of cracking or overturning.