gravitation and cosmology

- instructor: alessandra buonanno
- class room: phy 0405
- lecture days: tuesday & thursday 2:00pm -
3:15pm

- first day of class: september 1

- last day of class: december 10

- office room: phy 4212

- e-mail: buonanno@umd.edu
- phone: (301) 405 1440

- office hours: after class or by appointment

- grader: bhupal dev

- office room: phys 4219

- e-mail: nhupal@umd.edu
- phone: (301) 405 6073

- office hours: weds 4:00-6:00pm

(web supplements can be find here.)

recommended textbooks are "spacetime and geometry: an introduction to general relativity" by sean carroll,

and "general relativity" by hobson, efstathiou and lasenby.

and electrodynamics (phys 411) should suffice.

solutions will be posted on the course webpage.

the exercises are from hartle's book, except the S problems which were conceived

and assigned by professor ted jacobson for phys 675 in previous years.

- late homeworks are accepted only under serious circumstances (to be discussed before due day)
- you are encouraged to discuss homeworks with other students,
however the work you turn in should be your own formulation and
reflection

- use of previous solutions is not allowed
(violation of this rule is cause for failure of the course)

- homework sets must show reasoning leading to the final
answers in a clear and readable fashion to obtain credit

- please, include your name and staple the pages together

grading

the course grade will be based on the homeworks.

academic integrity

the university has approved a code of academic integrity available on the web.

the code prohibits students from cheating on exams, plagiarizing papers, submitting

the same paper for credit in two courses without authorization, buying papers, submitting

fraudulent documents, and forging signatures. the university senate requires that students

include the following signed statement on each examination or assignment: “i pledge on my

honor that i have not given or received any unauthorized assistance on this examination

(or assignment).” compliance with the code is administered by a student honor council,

which strives to promote a “community of trust” on the college park campus. allegations

of academic dishonesty can be reported directly to the honor council (314-9154) by any

member of the campus community.

course description

The following topics will be covered during the course (tentative)

- review of special relativity
- equivalence principle
- curved spacetime
- mathematical structure of general relativity
- solar system tests of general relativity
- gravitational collapse and black holes
- rotating black holes
- cosmology
- gravitational waves

references on lectures 1-2-3-4:

- read chapters 2,3,4,5 and also of hartle's book
- living review by cliff will (read sec. 2.1.1)
- observational
evidence of the GZK suppression: Auger and HiRes

- chapter IV of "subtle is the lord: the science and the
life of albert
einstein" by abraham pais

references on lectures 5-6:

- read chapters 6,7 of hartle's book
- living
review by cliff will (read secs. 2.1.2 and 2.1.3)

- read paper
by michel janssen on einstein's quest for general relativity

references on lectures 7-8-9:

- read chapters 7,8,9 of hartle's book

references on lectures 10-11-12:

- read chapters 9,10 of hartle's book

references of lectures 13:

- read chapter 12 of hartle's book

references of lecture 14:

- read chapter 14 of hartle's book

references of lecture 15-16:

- read chapter 15 of hartle's book

references of lectures 17-20:

- read chapters 17, 18 of hartle's book

- read chapter 8 of carroll's book and chapter 15 of hobson's
book

lecture 18 will be given by professor jacobson

on black hole thermodynamics and hawking

radiation

lecture 19 will be given by professor reynolds

on astrophysical aspects of black holes

references of lectures 21-23-24:

- read chapters 18 and 19 of hartle's book

- read chapter 8 of carroll's book

references of lectures 25-26-27:

- read chapters 20 and 22 of hartle's book

- read chapter 3 of carroll's book

references of lectures 28-29:

- read chapters 16 and 21 of hartle's book

- review paper on gravitational waves
- slides
of last lecture

homeworks on lectures 1-2-3:

(assigned on Sep 3, due on Sep 10)

- problems 2-7, 5-1, 5-3, 5-13 from hartle's book
- problem 1S
- solutions

homeworks on lectures 4-5-6-7:

(assigned on Sep 15, due on Sep 24)

- problems 6-14, 7-11, 7-12 from hartle's book
- problem 2S
- solutions

homeworks on lectures 8-9:

(assigned on Sep 24, due on Oct 1)

- problems 9.8, 9.9, 9.11 from hartle's book
- problem 3S
- solutions

homeworks on lectures 10-11-12:

(assigned on Oct 1, due on Oct 8)

- problems 9.10, 9.18, 10.4 from hartle's book
- problem 4S
- solutions

homeworks on lectures 13:

(assigned on Oct 8, due on Oct 15)

homeworks on lectures 14-15-16:

(assigned on Oct 15, due on Oct 27)

homeworks on lectures 17-20:

(assigned on Oct 27, due on Nov 10)

- problems 17-5, 18-3, 18-11, 18-14, 18-16 from hartle's book
- solutions

homeworks on lectures 21-22-23:

(assigned on Nov 11, due on Nov 19)

- problems 19-6, 19-8, 19-9 from hartle's book
- problem
8S

- solutions

homeworks on lectures 25-26-27:

(assigned on Dec 1, due on Dec 8)

- problem 20-17 from hartle's book
- problem
9S

- solutions

homeworks on lectures 28-29:

(assigned on Dec 8, due on Dec 10)

- problem 22-5 from hartle's book
- problem
10S

- solutions

questions and comments may be sent to buonanno@umd.edu

last modified on 12/16/2009