Problem 17 Solution
Necessary denitions: Here we use units of c = 1 and metric signature (+, , , ). The four-momentum P can be expressed in terms of the
four-velocity and Lorentz factor , P = mu with u (, v )T and u
(, v )T . The electromagnetic eld tens
Homework 4 Solution Notes
Problem 1: Bianchi identities The easiest way to solve parts (a) & (c) is
using local geodesic coordinates where the Christoel symbol vanish; this avoids
a lot of tedious index manipulation. Stephani 19.4 has one such straightfor
Homework 6 Solution Notes
Problem 1: Constant density star Note that the constants B, D in
terms of the star radius R can be found by the boundary condition (R ) = 0
and matching the Schwarzschild exterior solution. Using the value of B in terms
of R allo
PHYS 561 HOMEWORK COLLECTION
Problem 1
(a)
(b)
(c)
(d)
(e)
(f)
Problem 2
(a)
(b)
(c)
(d)
(e)
(f)
Problem 3
1
A lightweight pole 20m long lies on the ground next to a barn 15m long.
An Olympic athlete picks up the pole, carries it far away, and runs with i
PHYS 561 Take Home Final Exam
Closed book except attached formula sheet. Calculators allowed. Five Hours time limit.
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Multiple Choices (circle only 1 best answer, 60 points):
1. When a ph
PHYS 561 Sample Final Exam
Solutions to Multiple Choice Questions
Closed book except attached formula sheet. Calculators allowed. Five Hours time limit.
Sign you honor pledge with start and stop times and print your name.
Multiple Choices (correct answer
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