ASTR-3415-001: Astrophysics

Cosmology and General Relativity

Syllabus - Fall 2005


Course Information

Course ID:

   ASTR-3415-001

Credit Hours:

   3

Lecture Times:

   M W 8:55am -- 10:15am

Lecture Location:

   Brown Hall, Room 266

Lecturer:

   Dr Martin Hendry    (visiting Basler Chair)

E-mail:

   martin@astro.gla.ac.uk

Office:

   371 Brown Hall (423-439-4252)

Office Hours:

   M W 10.30am – 11.30am or by arrangement      

Textbook:

  

   “An Introduction to Modern Cosmology”

   by Andrew R. Liddle
   ISBN 0-201-54730-9

 

   (see course introduction for further book recommendations)

 


Course Syllabus

Dates

Topic(s)

Notes

 

     Part 1:  Brief overview of modern cosmology

 

Aug 29, 31

          What is cosmology?

         ‘State of the Universe 2005’ – the Concordance Model

          Cornerstones of the Big Bang theory 

   ASTR3415   Part 1 handout 

   ITC:   Sect.  2,  3,  4

   Liddle:  Chs.  2-5, 10-12, 15

 

Sep 5

    Labor Day  -  no class

 

 

     Part 2:  Introduction to general relativity

 

Sep 7

          The equivalence principle and its physical consequences       

   GR1:   Chs. 1,  2

Sep 12, 14

          Special relativity, spacetime and a first look at tensors

   GR1:   Ch. 3  +  handout

    Sep 19, 21

          Manifolds, covariant differentiation and geodesics

   GR1:   Chs. 4,  5,  6,  7

Sep 26, 28

          The energy-momentum tensor and conservations laws in GR

          The curvature tensor and Einstein’s equations

          Weak field limit and correspondence with Newtonian gravity

   GR1:   Chs. 8,  9,  10

Oct 3

          Exam 1

 

 

    Part 3:  Applications of general relativity

 

Oct 5

          The Schwarzschild metric and the classical tests of GR

    GR2:  Chs.  1,  2

Oct 10, 12

Oct 17

    Fall Break  -  no class

 

Oct 19

          Gravitational lensing: nature’s telescope

          Black holes:  theory and observation

     GR2:  Ch. 2

     GR2:  Ch. 3,  5

     GAL:   Sect.  2

Oct 24, 26

Oct 31

         Searching for gravitational waves

    GR2:  Ch. 4  +  handout

Nov 2

Nov 7

          GR foundations of cosmology:  FRW models and Friedmann’s equations

     GR2:   Ch. 6  +  handout

     Liddle:  Chs. 4, AT1

Nov 9

     Exam 2

 

 

     Part 4:  Cosmology revisited

 

Nov 14, 16

     Where are we?     The parameters that describe our Universe

      Handout

      Liddle: Chs. 5-7, AT2

Nov 21, 23

     How did we get there?      The formation and evolution of cosmic structure

      GAL:  Sect.  4  +  handout

      Liddle: Chs. 9-10, AT5

Nov 28, 30

     Why are we here?             Inflation and the very early Universe

                                                 Dark energy: Einstein’s greatest blunder?...

                                                 Some puzzles for 21st century cosmologists

      ITC:   Sect.  4  +  handout

 

      Liddle:  Chs. 7, 13-14, AT5

Dec 5

Dec 7

      Course review  +  Exam 3 *

 

 

*  Note that Exam 3 will be a take-home exam given out during the last meeting of the class.

This take home exam is due on Wednesday Dec 14th at 5:00 p.m.

In the above table     ITC  =  Introduction to cosmology lecture notes

                                GR1  =  Gravitation and Relativity Part 1 lecture notes

                                GR2  =  Gravitation and Relativity Part 2 lecture notes

                                GAL  =  Galaxies lecture notes


Exams, Homework & Project

The exam schedule is as follows:

Exam 

  Date

   Relevant lectures

1

   October 3rd 2005

  Aug 29th  Sep 21st 2005

2

   November 9th 2005

  Sep 26th -  Oct 26th 2005

3

   December 7th 2005

  Oct 31st  -  Dec 5th 2005

 

Homework

5 homework assignments will be given out at regular intervals throughout the course.  Each will consist of a series of short questions requiring a mixture of physical discussion, algebraic manipulation or numerical calculation.  Each homework assignment will involve no  material which is covered less than one week before the due date.  The questions set will be indicative of the level of difficulty and content of the exam questions.   Model answers will be issued on the due date, and these should help you with you exam revision.

 

The provisional homework schedule will be as follows:

Homework 

  Date issued

   Date due

1

   Sep 12th 2005

  Sep 26th 2005,  5pm

2

 

   Oct 10th 2005

  Oct 24th 2005,   5pm

3

 

   Oct 24th 2005

  Nov 7th 2005,  5pm

4

 

   Nov 7th 2005

  Nov 21st 2005,  5pm

5

 

   Nov 21st 2005

  Dec 7th 2005, 5pm

 

 

Project

 

The project assignment for ASTR3415 consists of writing a 10-12 page review paper which describes current research in a particular field of cosmology or general relativity.   In keeping with the goals of the Basler Chair, to promote greater integration of the arts, sciences and rhetoric, your paper should be written at a level that makes it understandable by a reader with a high school knowledge of physics, but little or no experience of physics at College or University.   That means no equations,  very little or no technical jargon and careful thought about how to explain difficult concepts using (where appropriate) analogies with everyday experience that a non-scientist would recognize.

 

Suitable topics for your paper might include (with some overlap among them):

 

Measuring the age of the Universe

The cosmic distance scale

The cosmic microwave background radiation

Evidence for the existence of supermassive black holes

Cosmological applications of gravitational lensing

The origin of gamma ray bursters

Braneworlds and quantum cosmology

The cosmological anthropic principle

Experimental tests of general relativity

Supernovae as cosmological distance indicators

 

 

I am open to further suggestions of your own, if there is an appropriate topic which particularly interests you.

 

Your paper can (and probably should!) contain diagrams where appropriate – provided these are helpful to a non-physicist reader.  (Remember that even the most basic graphs and plots can appear very mysterious to a non-scientist).  Make sure that your paper is your own words, and not simply plagiarized from the web (or indeed from the course lecture notes – some topics are more directly linked to the course syllabus than others).  There is, however, a wealth of suitable material on the internet for each of the above topics, and provided you reference your sources you are encouraged to make use of that.  Get googling!!!

 

Your paper is due at the final meeting of the class on December 7th, 8.55am.

 


Grading

The grading system will be based by the following criteria:

 

 

Final score = 15%*([Exam 1]/50)  +  15%*([Exam 2]/50)  +  15%*([Exam 3]/50)   +  25%*([Project]/100)  +  30%*([Homework Score]/[Homework Total])

 

 

The final grades will be calculated via the following scale:

A

=

90% or better

 

B-

=

73-75.9%

 

D+

=

56-58.9%

A-

=

88-89.9%

 

C+

=

70-72.9%

 

D

=

50-55.9%

B+

=

86-87.9%

 

C

=

62-69.9%

 

F

=

Less than 50%

B

=

76-85.9%

 

C-

=

59-61.9%

 

 

 

 

 

Note that a failing grade also will be given if the student has engaged in any form of academic dishonesty including (but not limited to) copying and plagiarism.

 


Please consult the  ETSU supplemental syllabus attachment  for other helpful university information.  


Lecture Notes

Part 1

Summary handout

Complete PPT

ITC Lecture notes

Part 2

GR 1 Lecture notes

“What you need to know”

 

Part 3

GR 2 Lecture notes

“What you need to know”

Notes on AGN / SMBHs

Part 4

Concordance Model Pt 1

Concordance Model Pt 2

Structure formation notes

 


 

Some useful links

 

            Simon Singh’s Big Bang lecture at the New York Academy of Sciences

 

            Solution to the exercises on Page 9

 

            Recent measurement of gravitational redshift from neutron star X-ray spectra

 

            Some background on the Harvard tower experimental measurement of gravitational redshift