3 A Perturbative Introduction to GR

Chapter 3
A Perturbative Introduction to GR

Page 71, Eq (3.129): the argument of the first delta function was wron and there was an overall factor of missing

$∫ T μν = - √2pc ℓμℓν dξδ(ξ - v)δ(u)δ(d-2)(xi), ℓμ = δ μ . (3.129) pp v$
(Thanks to Diego Blas)
Page 73, first line after Eq (3.143): the statement is true to first order in h. (Thanks again to Diego Blas).
Page 79, second of Eqs (3.175): the + sign should be deleted.

$σ (0)μ δξ(x)LF P = - χξ (x )∂μtcan σ(h ), (3.175 )$
Page 84, Eqs. (3.199): the terms on the r.h.s. of the first equation are total derivatives only after contraction with h^μσ.
Page 91, Eqs. (3.236): the parenthesis on the l.h.s. of the second equation are misplaced. it should be δ(S⁽¹⁾ + S⁽²⁾).
Page 105, Eq. (3.288): there is a symmetrization parenthesis missing:

$1{ 2 λ } 2 Rμρ = R¯μρ + 2 ¯∇ h μρ - 2 ¯∇ ∇¯(μhρ)λ + ¯∇ μ¯∇ ρh + O (h ). (3.288)$