| Important ( red = incorrect --> blue = correct ) |
| page 52, equation (27) on the right-hand-side: Tmn -> Tpq |
| page 65, We shall consider the dot products of V with the e1's -> We shall consider the dot products of V with the ei's |
| page 136, line 6: Z3 -> X3 |
| page 143, equation (28), denominator in the definition of cosine: 2i -> 2. And at bottom of page 145: no i in the denominator of the sine. |
| page 166, the d for differentials are missing see image |
| page 179, line 12: the trajectory with shortest proper time -> the trajectory with smallest action. And line 18: to minimize the proper time -> to minimize the action |
| page 191, second paragraph from bottom, formula for the Lagrangian. Inside the square root, it should be simply d tau2. See image |
| page 192, equation 36. The one occurrence of $\dot{r}$, in the denominator, should be $\dot{r}^2$ |
| pages 274-275, figures 8, 9 and 10, slanted line on bottom right: U+ = -1 -> U- = -1 |
| page 285, lines 6 and 7: The interior of the shell is the part of the curve to the right of the shell. -> The interior of the shell is the part of the curve to the left of the shell. |
| page 311, bottom line: Tm0=Tm0 -> Tm0=T0m. And at top of page 312, connect Tm0 with Tm0 -> connect Tm0 with T0m |
| page 328, line 5 from bottom: But outside the solar Schwarzschild radius the geometry is exactly the same -> But outside the solar radius the geometry is exactly the same. And line 3 from bottom: Far away from the Schwarzschild radius -> Far away from the radius |
| page 333, 1st sentence of second paragraph: Notice that neither the Ricci tensor nor the Riemann tensor have to be zero. -> Notice that the Riemann tensor doesn't have to be zero. |
| page 342: equation (18) should read like this image where f1 is the above f and f2 is the above g, and X'1 is the above X', and X'2 is the above Y', m and n run over 1 and 2. |
| page 349: bottom line: and hyx is the the opposite -> and hyx is the same. |
| page 350: (consequence of the above correction): the matrix at the top of the page should be symmetric |
| Cosmetic |
| page 137, legend to figure 8: proper time tau -> proper time Δ tau (put the correct Greek character, which for some reason my html doesn't want to display) |
| page 152, line 3: motion for a geodesic -> motion along a geodesic |
| page 175, line 1 (beneath first equation): want to minimize -> want to "extremelize" |
| page 184, line 1: we wrote for tau2 -> we wrote for d tau2 |
| page 212, line 5 from bottom: is differentiate the left-hand side -> is differentiate the right-hand side |
| page 267, line 14: and time and proper time are almost the same -> and coordinate time and proper time are almost the same |
| page 312, misspelling : paragraph above equation (23). "What we have learned {it => is}" |
| page 341, on figure 2: x = 0 -> X = 0 ; and x' = 0 -> X' = 0 |
| pages 338, 339, 343, equations (11), (12), (19), (20): the denominators of the derivatives should have curly d's |