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B018841 - INTRODUCTION TO RELATIVITY
Main information
Teaching Language
Learning Objectives
Course Content
Prerequisites
Teaching Methods
Type of Assessment
Course program
Suggested readings
Further information
Academic Year 2014-15
Course year
First year - Second Semester
Belonging Department
Physics and Astronomy
Course Type
Single education field course
Scientific Area
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS
Credits
6
Teaching Hours
48
Teaching Term
02/03/2015 ⇒ 12/06/2015
Attendance required
No
Type of Evaluation
Final Grade
Course Content
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Course program
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Lectureship
Teaching Language
Italian
Learning Objectives
Knowledge acquired:
basic knowledge of special and general relativity
Competence acquired:
differential geometry
Skills acquired
handling the relativistic framework
basic knowledge of special and general relativity
Competence acquired:
differential geometry
Skills acquired
handling the relativistic framework
Course Content (Search our library's catalogue)
Special and general relativity theory
Prerequisites
Calculus and vector calculus. Classical mechanics and electrodynamics. Basics of special relativity.
Teaching Methods
6 CFU
Lectures hours: 48
Lectures hours: 48
Type of Assessment
Oral test
Course program
Foundations of special relativity. Four-vectors and tensors. Relativistic kinematics and dynamics. Covariant formulation of electromagnetism. Stress-energy tensor of matter and electromagnetic field. Relativistic fluids and equation of motions.
Introduction to general relativity. Equivalence principle. Redshift and Pound-Rebka experiment. Need of curved spacetime. Curved spacetimes: metric tensor, geodesics, covariant derivative, Bianchi identity. Length and time measurement. Geodesics and test particles. Einstein field equations. Newtonian limit. Spherically symmetric solutions: Schwarzschild metric. Gravitational redshift. Perihelion precession. Light beams deflection.
Introduction to general relativity. Equivalence principle. Redshift and Pound-Rebka experiment. Need of curved spacetime. Curved spacetimes: metric tensor, geodesics, covariant derivative, Bianchi identity. Length and time measurement. Geodesics and test particles. Einstein field equations. Newtonian limit. Spherically symmetric solutions: Schwarzschild metric. Gravitational redshift. Perihelion precession. Light beams deflection.
Suggested readings
Landau – Classical field theory
Weinberg – Gravitation and cosmology
Weinberg – Gravitation and cosmology
Further information
Office hours
To be agreed with the teacher
Website
http://theory.fi.infn.it/becattini/
To be agreed with the teacher
Website
http://theory.fi.infn.it/becattini/