Advanced Course in General Relativity - Lecture 1

Dive into an advanced lecture on general relativity, the first in a series from the Summer School on Gravitational Wave Astronomy. Explore the classical theory of gravitation, examining how mass and energy affect spacetime. Delve into key concepts such as the Ricci tensor, energy-momentum tensor, and Einstein equations. Investigate vacuum solutions and the behavior of test bodies in curved spacetime. Study the action of massive particles, geodesic equations, and the derivation of conserved quantities. Gain insights into black holes through Townsend's review and understand the connection to Newton's law. This comprehensive lecture, delivered by Sudipta Sarkar from IIT Gandhinagar, provides a solid foundation for graduate students and researchers in gravitational physics and related fields.

Advanced course in general relativity Lecture - 1
General Relativity - classical theory of Gravitation
In presence of mass/energy, spacetime
In presence of matter
Necessary as well as sufficient condition
Ricci tensor
Matter
Energy momentum tensor T power mv
In conserved spacetime
Einstein equations
Vacuum solution
How the test bodies behaves in the shorten solution?
Three space like killing vectors
Action of a massive "particle"
Geodesic equation
Townsend review - "Black holes"
How do you obtain the conserved quantities?
Newton's law