# Fisica | GENERAL RELATIVITY

## Fisica GENERAL RELATIVITY

 0522600020 DEPARTMENT OF PHYSICS "E. R. CAIANIELLO" EQF7 PHYSICS 2022/2023

 YEAR OF COURSE 1 YEAR OF DIDACTIC SYSTEM 2021 SPRING SEMESTER
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY FIS/02 6 48 LESSONS SUPPLEMENTARY COMPULSORY SUBJECTS
 GAETANO LAMBIASE T
ExamDate
APPELLO DI FEBBRAIO 202314/02/2023 - 15:00
Objectives
KNOWLEDGE AND UNDERSTANDING:
THE OBJECTIVES OF THE LECTURE ARE TO TRACE FOR STUDENTS A PATH FOR UNDERSTANDING AND APPLY, IN A CRITICAL WAY, ALL NOTIONS INHERENT TO THE FUNDAMENTAL THEORETICAL PHYSICS. THIS TARGET WILL BE ALSO SUPPORTED BY DIDACTIC MATERIALS.

APPLYING KNOWLEDGE AND UNDERSTANDING:
THE AIM IS TO INTRODUCE THE STUDENTS IN NATIONAL AND INTERNATIONAL ACCADEMIC CONTEXT, AS WELL AS TP PROVIDE THE POSSIBILITY TO COLLABORATE IN DIFFERENT CONTEXTS SUCH AS THE INDUSTRY.
Prerequisites
LAUREA TRIENNALE. THE COURSE IS ADDRESSED TO THE STUDENTS WITH INTEREST FOR HIGH ENERGY PHYSICS, ASTROPHYSICS AND COSMOLOGY, AS WELL AS FOR STUDENTS INTERESTED TO CONDENSED MATTER AND SOLID STATE PHYSICS. THE MATHEMATICAL KNOWLEDGE OF FIRST LEVEL IS REQUIRED.
Contents
THE AIM OF THE LECTURE IS TO PROVIDE THE BASIC NOTIONS OF THE THEORETICAL PHYSICS, ALLOWING TO STUDENTS TO ACQUIRE A SOLID GROUND FOR THE SCITIFIC ACTIVITIES.

THE TOPICS FACED DURING THE LECTURES ARE:

TENSOR CALCULUS, MANIFOLD (6 H)

COVARIANT DERIVATIVE.(2 H)

LIE DERIVATIVE.(2 H)

RIEMANN'S TENSOR. RICCI'S TENSOR. EINSTEIN TENSOR (2 H)

EQUIVALENCE PRINCIPLE.(2 H)

GEODESIC EQUATION (4 H)

EINSTEIN FIELD EQUATIONS. (4 H)

TESTS OF GENERAL RELATIVITY (10 H)

COSMOLOGY (4 H)

ASTROPHYSICS AND BLACK HOLES (6 H)

INTODUCTION TO DIFFERENTIAL GEOMETRY.(6 H)

THE LECTURES ARE ESSENTIALLY DIVIDED IN TWO MAIN PARTIES; GENERAL RELATIVITY AND ITS APPLICATIONS (36 H); MATHEMATICAL TOOLS (12 H)
Teaching Methods
DIRECT LECTURES WITH APPLICATIONS AND EXERCISES ON TOPIC RELATED WITH THE CONTENTS OF THE COURSE. THE AIM IS TO PROVIDE FUNDAMENTAL NOTIONS OF PHYSICS AND MATHEMATICS AIMED TO DESCRIBE NEW PHYSICS PHENOMENA, AND COLLABORATE WITH OTHER RESEARCHERS.
Verification of learning
ORAL EXAMINATION TO VERIFY THAT STUDENTS UNDERSTOOD THE ARGUMENTS OF THE LECTURES. THE STUDENT MUST BE ABLE TO EXPOSE IN CLEAR AND SYNTHETIC MANNER THE ARGUMENTS OF THE LECTURES AND TO FORMULATE AUTONOMOUS JUDGEMENTS.
THE FINAL MARKS MAY VARY FROM A MINIMUM TO A MAXIMUM.THE MINIMUM GRADE EXAMINATION (18/30) IS APPLIED WHEN THE STUDENT HAS A LIMITATED KNOWNLEDGMENT OF THE ARGUMENTS TREATED DURING THE LECTURES. ON THE COUNTRY, THE MAXIMUM MARK (30/30 OR 30 CUM LODE) IS ALLOWED IN THE CASE IN WHICH STUDENTS ARE ABLE TO DISCUSS THE ARGUMENTS OF THE PROGRAM IN A DEEP AND CLEAR WAY, WITH CAPABILITY TO SOLVE ADVANCED PROBLEMS.
Texts
S WEINBERG: GRAVITATION AND COSMOLOGY
MISNER-WHEELER-THORNE: GRAVITATION
GUIDRY: MODERN GENERAL RELATIVITY
KENYON: GENERAL RELATIVITY
D’INVERNO: INTRODUCING EINSTEIN’S RELATIVITY
S. CARROLL: SPACETIME AND GEOMETRY
RYDER: INTRODUCTION TO GENERAL RELATIVITY