# Fisica | GENERAL RELATIVITY

## Fisica GENERAL RELATIVITY

 0522600020 DIPARTIMENTO DI FISICA "E.R. CAIANIELLO" EQF7 PHYSICS 2017/2018

 YEAR OF COURSE 1 YEAR OF DIDACTIC SYSTEM 2017 PRIMO SEMESTRE
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY FIS/02 6 48 LESSONS SUPPLEMENTARY COMPULSORY SUBJECTS
 GAETANO VILASI T
Objectives
LECTURES ARE INTENDED TO INTRODUCE STUDENTS TO FOUNDATIONS OF GENERAL RELATIVITY AND COSMOLOGY, EMPHASIZING GEOMETRICAL ASPECTS AND APPLICATIONS.

KNOWLEDGE AND UNDERSTANDING:
LECTURES AIM TO MAKE STUDENTS ADVISED OF THE CURRENT PROBLEMS IN GRAVITATIONAL PHYSICS, DESCRIBING SOLUTIONS OFFERED BY THE GENERAL RELATIVITY AND THE ONES OFFERED
BY ALTERNATIVE THEORIES, EVEN IN ORDER TO DEVELOP THEIR CRITICAL SPIRIT.

APPLYING KNOWLEDGE AND UNDERSTANDING:
LECTURES INTEND TO MAKE STUDENTS ABLE TO SOLVE SIMPLE PROBLEMS OF GRAVITATIONAL PHYSICS, ALSO BY USING SYMBOLIC CALCULUS ON COMPUTER (ES. MAPLE) AND TO WRITE A SHORT THESIS (LESS THAN 10 PAGES) ON NEW TOPICS, CLOSE TO THOSE ALREADY STUDIED.
Prerequisites
CLASSICAL MECHANICS, ELECTRODYNAMICS, SPECIAL RELATIVITY, LAGRANGIAN AND HAMILTONIAN DYNAMICS, QUANTUM MECHANICS.
Contents
THE GALILEO-EINSTEIN EQUIVALENCE PRINCIPLE, THE GENERAL COVARIANCE PRINCIPLE, THE GEODESIC EQUATIONS, THE EINSTEIN FIELD EQUATIONS, THE SCHWARZSCHILD SOLUTION, THE PRECESSION OF MERCURY PERIHELION, THE DEFLECTION OF LIGHT IN A GRAVITATIONAL FIELD, BLACK HOLES, GRAVITATIONAL WAVES, RELATIVISTIC COSMOLOGY.
Teaching Methods
LECTURES AND EXERCISES ON BLACKBOARD
Verification of learning
I. SOLUTION OF A SIMPLE PROBLEM IN GRAVITATIONAL PHYSICS BY USING SYMBOLIC COMPUTER CALCULUS (MAPLE OR MATHEMATICA)
II. DISCUSSION OF A SHORT THESIS, CHOSEN TOGETHER WITH EACH STUDENT AT THE END OF THE LECTURE COURSE, ON NEW TOPICS CLOSELY RELATED TO THOSE OF LECTURES.
Texts
G. VILASI, HAMILTONIAN DYNAMICS, WORLD SCIENTIFIC (2001)
L.LANDAU – E.LIFCHITZ, TEORIA DEI CAMPI, EDITORI RIUNITI
I. CIUFOLINI AND J. A. WHEELER, GRAVITATION AND INERTIA, PRINCETON SERIES IN PHYSICS, (1995)
S. WEINBERG, GRAVITATION AND COSMOLOGY, J. WILEY (1972)
R. WALD, GENERAL RELATIVITY, CHICAGO UNIVERSITY PRESS, (1984)
S. HAWKING AND G. ELLIS, THE LARGE SCALE STRUCTURE OF SPACE-TIME, CAMBRIDGE UN. PRESS (1980)
R. D'INVERNO, UNA INTRODUZIONE ALLA RELATIVITÀ DI EINSTEIN, FELTRINELLI (2010)
C. MISNER, K. THORNE AND J.A.WHEELER, GRAVITATION, H.FREEMAN (1973)
M. GASPERINI, RELATIVITÀ GENERALE E TEORIA DELLA GRAVITAZIONE, (SPRINGER 2010)
APPUNTI DALLE LEZIONI
BETA VERSION Data source ESSE3 [Ultima Sincronizzazione: 2019-05-14]
• Fisica