Physics 675, Fall 2005
Introduction to
Relativity, Gravitation
and Cosmology
Solutions
2005 solutions: When I
already had solutions from the 2004 class I just indicated the
correspondence. The 2004 solutions are included below. "tba" means
solution is to be added.
hw1
2-7, 5-1, 5-3, 5-13, 5-14 in hw1-2004
1-S (relativistic beaming)
hw2
6-14, 7-11, 7-12, 2S-3 in hw2-2004.
2S-1,2 tba
hw3
1, 2 tba
3 in hw3-2004
hw4
9-10 and 12-6 in hw4-2004
9-18 and 4S-1 tba
hw5
2-10, 12-11, 15-6 tba
15-10, 15-18 in hw5-2004 (first and last problems).
hw6
13-7 tba
15-16 in hw6-2004
6S-1 is hw7-2004, Problem 5.
6S2,3,4 tba
hw7
16-7, 16-13, and 6-14 in hw8-2004.
7S-1 asked to derive (16.8) using the
Lagrangian method. The argument is this: The Lagrangian is -tdot^2 +
(1+f)xdot^2 + (1-f)ydot)^2 + zdot^2, where f=f(t-z). The Euler-Lagrange
eqn for x says (1+f)xdot is constant, so if xdot=0 initially, it
remains zero.
7S-2 in
hw7-2004, Problem 1 (that does not include this year's part (b), the
charge dipole).
hw8 See
hw8-2004. hw8 this
year corresponds to problems 4,5,6,7. The original solution of 18-3
missed
a required division by dt/d\tau, which is corrected in the "18-3
corrected" link
here.
hw9 See
hw9-2004 (Includes also 18-28 which was not assigned this year, and
therefore problems 8 and 9 correspond to this years 7 and 8.)
hw10 19-6 and 19-7 are in hw10-2004; 10S-1 and
10S-2
are here and called 1 and 2 (from
hw11-2004).
hw11 Problems 3-6
(Numbered differently from this year; 1
& 2 are omitted. let me know if you want solutions.)
hw12 PDF file
(In correct order, but numbered differently from this
year.)
hw13
2004 solutions:
hw1
hw2
hw3
, hw3errors
hw4
hw5
hw6 , P1 alternate
hw7
hw8 , problem
18-3 corrected
hw9: page 1, page
2, page 3, page 4
hw10
hw11
hw12
hw13