### A study of AdS Black Holes and Branes (MS project)

**27/07/2020-current**

**Dr. Rajesh Nayak, IISER Kolkata**

I have taken up this project as my Master’s thesis. I will be studying AdS Black Holes and Black Branes.

to my webpage

An atheist with a heart;

An astrophysicist with a soul.

I have taken up this project as my Master’s thesis. I will be studying AdS Black Holes and Black Branes.

I have taken up this project as an Independent Study project. I am studying about Magnetohydrodynamics from Dr. Arnab Rai Choudhuri’s textbook “The Physics of Fluids and Plasmas: An Introduction for Astrophysicists” .

This project was supposed to be carried out in the U.S. but due to COVID-19, this project is being carried out remotely. This work has significantly improved my skills in General Relativity, Matlab and Python coding. I studied Teukolsky equation for s=0 and computed the coupled differential equations for m=0. To get the quasinormal modes, I first used a finite difference method in Python and then used Jan Hesthaven's discontinuos galerkin codes in Matlab. The project is currently ongoing and I will upload the report soon.

Finesse is a sophisticated simulation package for modelling optics and laser interferometers. This interferometer modelling software was developed for the design of gravitational wave detectors, but is easy to use for students with simpler lab-based setups as well. It includes advanced features such as higher-order modes, quantum noise and radiation pressure effects.

LISA stands for **Laser Interferometer Space Antenna**, it will be a spaced based
gravitational wave detector with an array of three spacecrafts in heliocentric orbit. I show
how a three body system can be used to model the system and reduce the flexing in the
arms of LISA over a period of time.

A reading project of paper “Curved Space, curved Time, and curved Space-Time in Schwarzschild geodetic geometry (arxiv:1812.03259) This project was primarily a reading project, I derived and calculated all the geodesic equations for different types of metrics associated with Schwarzschild geometry, considering space and time curvatures separately.

A reading project in General Relativity, Cosmology and Dark Matter I studied General Relativity and Cosmology following textbooks by Scott Dodelson, Bernard F. Schutz and James Hartle. The report for the project can be found here

I primarily simulated quantum and mesoscopic systems in Python using Kwant module of Python. I simulated different types of topological insulators and varied the position of gates in it and show the periodicity in conductance offered. I also simulated Quantum Hall effect as well as 2D electron gas.

Indian Institute of Science Education and Research, Kolkata(India)

Department:- Physics

CGPA:- 8.1 (as of 8th semester)

__Courses Pursued:-__

**Physics:**

Classical Mechanics (Level:- Goldstein), Quantum Mechanics (Level:- Griffiths & Sakurai ), Wave Mechanics (Level:-A.P. French, H.J. Pain) ,Electronics (Level:- Malvino), Mathematical Methods (Level:- Boas & Arfken), Electrodynamics (Level:- Griffith), Thermodynamics (Level:-Zemansky, Callen) , Statistical Mechanics (Level:-K. Huang), Electronics Lab, Computational Physics (Numerical differentiation, integration, matrix decomposition, Differential -equation solving, system of linear equation, probability problems and stochastic problems-using Python), Advanced Optics Laboratory, Basic Nuclear Physics - Theory and Laboratory

**Mathematics:**
Linear Algebra (Level:- Friedberg, Spencer), Real Analysis (Level:- Bartle and Sherbert),
Probability and Statistics, Statistics Lab (using R and python-pandas) and Theory
(Descriptive Statistics, Applications of Different Moments, Correlation and Regression,
Sampling, Inference )

**Outside Curriculum:**
General Theory of Relativity and Cosmology (Level:- Hartle, Schutz, Caroll), Quantum
Field Theory (David Tong’s notes), Machine Learning (you-tube lectures), Science
Communication (course by Prof. Lewis Dartnell, University of Westminster at IISER
Kolkata)

CGPA:- 8.1 (as of 8th semester)

Classical Mechanics (Level:- Goldstein), Quantum Mechanics (Level:- Griffiths & Sakurai ), Wave Mechanics (Level:-A.P. French, H.J. Pain) ,Electronics (Level:- Malvino), Mathematical Methods (Level:- Boas & Arfken), Electrodynamics (Level:- Griffith), Thermodynamics (Level:-Zemansky, Callen) , Statistical Mechanics (Level:-K. Huang), Electronics Lab, Computational Physics (Numerical differentiation, integration, matrix decomposition, Differential -equation solving, system of linear equation, probability problems and stochastic problems-using Python), Advanced Optics Laboratory, Basic Nuclear Physics - Theory and Laboratory

Creane Memorial High School, Central Board of Secondary Education (CBSE), Gaya, Bihar (India)

Score:- 95%

Subjects studied:- Physics, Chemistry , Multimedia and Web Technology, Maths, English

Subjects studied:- Physics, Chemistry , Multimedia and Web Technology, Maths, English

D.A.V. Public School Cantt. Area Gaya, Central Board of Secondary Examination (CBSE), Gaya, Bihar (India)

Score:- 95%

Subjects studied:- Maths , Science, Social Sciences, English,Computer Science , Hindi

Subjects studied:- Maths , Science, Social Sciences, English,Computer Science , Hindi