Relativity, Gravitation and Cosmology (Cheng)

August 2005 Corrections

page	location	correction	Thanks
26	Whole page before Eq (2.44)	The upper and lower indices on the transformation matrices on page 26 should not be aligned along the same vertical line. In the symbol [R]^ij the row-index i should be ahead of the column-index j. In particular in Eq (2.44) in the first two [R]'s the index i is ahead, but in the last [R] it is behind. Namely there is an interchange of row and column indices.
48	Line 5 in paragraph with heading: A more direct derivation of time dilation	Replace the long sentence "The time t^ff as recorded.....dilation formulae:" by “The clock in free fall yields the proper time of the ff frame and ticks at the same rate as it passes the two positions: dt^ff_1 = dt^ff_2. But this falling clock is a moving clock when viewed by the stationary observers with clocks reading τ_1 and τ_2. The SR time dilation formula (2.69) then yields:".	C. Hollersen
76	Line 3 below Eq (5.7)	Change section number (12.2.2) to (11.2.2)
165	Line 1 below box	Change section number 7.3 to 7.1.3
288	Answer 8 (Ch 8)	Insert `exp' in front of `[-Δmc²/k_{b}T_{bbn}]' to read:   "n_{n}/n_{p}=¡exp[-Δmc²/k_{b}T_{bbn}] with Δm=m_{n}-m_{p}."