Final Year Projects (FYPs)

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Now showing 1 - 5 of 5

Study of Thermal Stability and Thermodynamic Geometries of Well-Known Black Holes through Entropy Corrections
(Library Information Services, CUI Lahorez v, 2023) Mazhar Hussain; FA20-RMT-017; Dr. Abdul Jawad
In this thesis, we investigate the thermal stability and thermodynamic geometries of non-rotating/rotating charged black holes. For these black holes, we apply Barrow and power-law entropy to determine the physical quantities such as mass and temperature of the system and ¯nd their sta- bility through ¯rst and second phase transitions of the heat capacity. We analyze the e®ects of scalar charge Q and hair parameter ¸ on black holes properties by taking both positive and negative values of these parame- ters. It is noted that heat capacity provide the stable, unstable regions and phase transition points for both black holes. To investigate the thermody- namic geometry of these black holes, various techniques such as Ruppeiner, Weinhold, Quevedo and HPEM metrics are considered. It is observed that Weinhold, Quevedo and HPEM give attrative/repulsive behavior of parti- cles in stable/unstable regions of black holes.
Cosmographic Analysis of Holographic Non-Zero Torsion Framework
(Library Information Services, CUI Lahore, 2023) Aitazaz Ahsan; FA21-RMT-018; Dr. Abdul Jawad
In this thesis, we use the cosmographic approach to discuss Friedmann-like space-time in the presence of torsion. For this, we explore equations of motion that explain creation in an isotropic and homogeneous cosmic backdrop with non-zero torsion. Here, we consider the energy density of p L¡2. We examine this DE model with both constant and variable holographic length-scale in terms of Hubble parameter to determine the best ¯t scale. The interaction between dark sector components is taken to evaluate cosmographic parameters, like Hubble, equation of state, deceleration, jerk, snap, lerk the state¯nder pa- rameters. We consider four c(z) parameterizations, which are Chevalier- Polarski-Linder, Jassal-Bagla-Padmanabhan, Wetterich and Ma-Zhang for both cases. We obtain consistent results for speci¯c choices of constant parameters in the underlying scenario.
Effects of Well-Known Potentials on Cosmic Inflation in f(T) Gravity
(Library Information Services, CUI Lahore, 2023) Ayesha Aslam; FA21-RMT-064; Dr. Abdul Jawad
In this thesis, we investigate a canonical scalar ¯eld in°ationary scenarioby considering an exponential model in the context of f (T ) theory. We take some well-known potentials as general hilltop in°ation potential (GHI), valley hybrid in°ation potential (VHI), shaft potential and minimal in°ation potential to evaluate some in°ationary parameters. We evaluate number of e-folds N , the slow-roll parameter ²1, ratio of tensor-scalar r, scalar-spectral index (ns) and its running ®. For a comparison of our results with Planck data, we draw ns - r and ns - ®s planes for the di®erent well known potentials. Our outcomes for three potentials depict a consist and compatible in°ationary scenario with the recent observational data (Planck data 2018).
Thermodynamic Study of Higher Dimensional Black Holes through Exponential Entropy Models
(Library Information Services, CUI Lahore, 2023) Sana Malik; FA21-RMT-001; Dr. Abdul Jawad
In this thesis, we work on thermodynamics of black holes via expo- nentially corrected entropies. Exponential corrections are applied to the entropy of 5D charged AdS black hole solutions that are found in Einstein Gauss Bonnet gravity and the nonlinear electrodynamics. Also, three dif- ferent versions of 5D charged AdS black hole are considered by assuming q ! 0; k ! 0 and ¯ ! 0 (where q is charge, k is non-linear parameter and ¯ is coupling constant). For these black holes, extended phase space (where cosmological constant is interpreted as pressure) and ¯rst law of the black hole thermodynamics are demonstrated. Further, the thermal sta- bility/instability, ¯rst/second order phase transitions for these black holes are investigated through the behavior of heat capacity at constant pressure, Gibbs free energy, Helmoltz free energy and the trace of the Hessian matrix in the presence of exponentially corrected entropies.
Exploring Patterns and Relations in Knot Theory by Using Machine Learning
(Library Information Services, CUI Lahore, 2023) Muhammad Umer; CIIT/FA21-RMT-105/LHR; Dr. Abdul Jawad
. Machine learning is a sub-domain of AI which has manifested impressive applicability in various scientific domains, and provides different techniques that could be used to identify relations or patterns in the data. Machine learning could be used in multiple ways in analyzing and exploring knot theory. In this thesis, we will discuss how machine learning techniques could be used to find relations in knot theory, particularly, how it could be used to discover relations in different knot invariants. Briefly, given a training set {x

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