Principles of Astrophysics 342
Spring 2003
HOMEWORK ASSIGNMENT #9
Due Thursday
May 1, 2003 4:30PM
C&O refers to the textbook An Introduction to Modern Astrophysics,
by B.W. Carroll & D.A. Ostlie
- Einstein introduced the cosmological constant, Lambda, into the
field equations of general relativity in order to produce a static,
non-evolving model to describe the Universe. In this case R, the
scale factor of the Universe, is constant with time. Starting from
the Freidmann equation including a cosmological constant term, derive
expressions for R and Lambda for Einstein's static Universe. (Hint:
the time derivatives of R equal zero for this model.)
- C&O, page 1324, problem 28.9
- C&O, page 1324, problem 28.13