Course Details
Subject {L-T-P / C} : PH6119 : Compact Stars Physics { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Dr. Bharat Kumar
Syllabus
Gravity and the Equivalence Principle, Special Relativity and the Metric, Einstein’s Equation, The Schwarzschild Metric, Energy-Momentum Tensor, The Full Einstein Equation with Matter, Tolman–Oppenheimer–Volkoff Equation, The Schwarzschild Solution for a Sphere of Fluid, White Dwarfs: A Brief History of White Dwarfs, Mass–Radius Relation for Polytropes, Lane–Emden Equation, Chandrasekhar Mass, Coulomb Corrections, Neutron and Quark Stars: Brief History of Neutron Stars, Structure of Neutron Stars, Nuclear Equation of States, Properties of Neutron Stars, Free Strange Quark Matter, Selfbound Stars, Interacting Quark Matter, Mass-Radius Relationship for Quark Stars
Gravitational Waves: Linearized Gravity, Production of Gravitational Waves, Ellipticity of Neutron Stars, Neutron Star Mergers
Course Objectives
- Understanding the astrophysical observations of compact stars
- Understanding the composition of the white dwarf and neutron stars
- Solution of Tolman–Oppenheimer–Volkoff Equation
- Understanding the detection of gravitational waves
Course Outcomes
On completion of the course, students will be able to: <br />1. understand the general relativity and physics of compact objects. <br />2. learn how astrophysical observations and measurements are carried out for compact objects. <br />3. learn about the physics of gravitational waves in the context of compact objects.
Essential Reading
- Norman K. Glendenning, Compact Stars: Nuclear Physics, Particle Physics and General Relativity, Springer, New York, NY
- Stuart L. Shapiro, Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects, Wiley-VCH
Supplementary Reading
- Bernard Schutz, A First Course in General Relativity, CAMBRIDGE UNIVERSITY PRESS
- P. Haensel, D. G. Yakovlev, A.Y. Potekhin, Neutron Stars 1 & 2: Equation of State and Structure, y, CAMBRIDGE UNIVERSITY PRESS