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

International Centre for Theoretical Sciences
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