Prof.  Luca Amendola


Institut für Theoretische Physik -- Universität Heidelberg


Philosophenweg 16 -- D-69120 Heidelberg -- Germany

Tel: +49-6221-549-407 -- Fax: +49-6221-549-333

Sprechstunde: After my lectures
and by appointment Tuesday 11.00 - 12.00 a.m. (other times also possible)





  General Relativity

Summer Semester 2012

   The course is an introduction to General Relativity. Suggested prerequisites: Classical Mechanics; Electromagnetism (including Special Relativity).
  
   Twitter updates:



Program
   - Special Relativity
   - Vectors and tensors
   - Manifolds
   - The Energy Momentum tensor
   - Curvature
   - Equations of GR
   - Gravitational Waves
   - Schwarzschild solution and its generalizations
   - Cosmology



   NOTE: Course begins on April 16th, 2012

   Classes on Monday 09:15-11:00 and Wednesday 09:15-11:00 at INF 308/HS 2
   Exercise classes in various locations/times.
   Contact the tutor coordinator Dr. Ignacy Sawicki for any information related to exercises.

   
   Calendar:
   16.04
   18.04
   23.04
   25.04
   30.04
   02.05
   07.05
   09.05
   14.05
   16.05
   21.05
   23.05
   30.05
   04.06
   06.06
   11.06
   13.06
   18.06
   20.06
   25.06
   27.06 WRITTEN EXAM 2:00-5:00 pm (No exercise classes this week!)
   02.07
   04.07
   09.07
   11.07
   16.07 No exercise classes this week
   18.07


    CREDITS: 8
   
    During the course a few homework sheets will be handed out.
   
    EXAMS
    Written exam on June 27, 2:00-5:00 pm, INF 308, HS2 (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 transformation formulae.
    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 later on.
    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 process
11.5
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.

    Suggested texts:

    Lecture notes (these are just an outline of the course, no replacement for the textbooks)

    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 free here.)
    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.

 
   
 

 

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