Prof. Luca Amendola
Institut für Theoretische
Physik -- Universität
Philosophenweg 16 -- D-69120 Heidelberg -- Germany
Tel: +49-6221-549-407 -- Fax:
After my lectures
and by appointment Tuesday 11.00 - 12.00 a.m. (other times also
Summer Semester 2012 The course is an
introduction to General Relativity. Suggested prerequisites: Classical
Mechanics; Electromagnetism (including Special Relativity).
- Special Relativity
- Vectors and tensors
- The Energy Momentum tensor
- Equations of GR
- Gravitational Waves
- Schwarzschild solution and its generalizations
NOTE: Course begins on April 16th, 2012
Classes on Monday 09:15-11:00 and Wednesday 09:15-11:00 at INF
Exercise classes in various locations/times.
Contact the tutor coordinator Dr. Ignacy Sawicki for any
information related to exercises.
27.06 WRITTEN EXAM 2:00-5:00 pm (No
exercise classes this week!)
16.07 No exercise classes this week
During the course a few homework sheets will be
Written exam on June 27, 2:00-5:00 pm, INF 308,
(same classroom as usual). The written exam will be valid as an
admission test to the oral exam. No formulae sheets or books allowed.
Complicate formulae, if needed, will we provided in the test sheet. I
suggest to learn by heart the definition of the Christoffel symbols, the
geodesic equation, the vector covariant derivative and the tensor
Program of the written test:
Schutz's book: Chapters 1 to 9.1 (except 5.5)
Oral exams: week 23.07-27.07 (registration will
be open after the written exam); then, by appointment in September or
Program of the oral exam:
Schutz's book (2nd ed.): Chapters 8 to 12 , except:
9.2 subsection: A resonant detector
9.3 subsection: Exact solution of the wave equation
9.4 subsection: The energy flux of a grav. wave
10.6 subsection: Buchdahl's interior solution
11.3 subsections: Equatorial photon motion in the Kerr metric; The Penrose
12.4 subsections: The early universe; Beyond general Relativity.
The exam will last approximately 30 minute. The questions will be rather
general, without detailed calculations or exercises. Typically I will
ask about some general topic in GR, and you can make use of the
blackboard to help you with drawings or equations. You are expected to
remember some of the very important equations but it's more important to
understand the physical content rather than all the numerical factors.
Lecture notes (these are just an outline of the course, no replacement for
B. Schutz, A First Course in
General Relativity, Cambridge University Press, Second Edition (the first
one is fine as well)
This is the basic textbook we use for this course.
It is very clear and concise, with all the important derivations
detailed out step-by-step.
S. Carroll, Spacetime and geometry, An Introduction to General
Relativity, Addison-Wesley (a shorter version of the book is available for
This book contains lots of additional material. It
is very well written, with many figures and several appendices exploring
advanced material. I will use it mostly for some applications of
Einstein equations and for exercises.
Problems (complete set)
These are (some of) the exercises that will be assigned as
homework and discussed in the exercise class.