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Département de Physique Théorique Université de Genève  


THE COSMIC MICROWAVE BACKGROUND (2nd Edition)

Cambridge University Press 2020


  • DESCRIPTION: see table of content here
    The cosmic microwave background (CMB) is the radiation left over from the Big Bang. Recent analysis of the fluctuations in this radiation has given us valuable insights into our Universe and its parameters.
    Examining the theory of CMB and recent developments, this textbook starts with a brief introduction to modern cosmology and its main successes, followed by a thorough derivation of cosmological perturbation theory. It then explores the generation of initial fluctuations by inflation. The Boltzmann equation which governs the evolution of CMB anisotropies and polarization is derived using the total angular momentum method. Cosmological parameter estimation and the lensing of CMB fluctuations and spectral distortions are also discussed.
    This textbook is the first to contain a full derivation of the theory of CMB anisotropies and polarization. Ideal for graduate students and researchers in this field, it includes end-of-chapter exercises, and solutions to selected exercises are provided.
    In addition to the first Edition this book contains two new chapters, one Non-Gaussianities and one on relativistic linear perturbation theory of large scale structure.
    The chapter on inflation has been enlarged and the chapter on observations has been updated.
    Errors/typos in the first edition have been corrected.


    The first book to provide a full derivation of the theory of CMB anisotropies and polarization
    Chapters are as much as possible self-contained so readers can focus on the parts of most interest to them
    Contains end-of-chapter exercises  

  • Solutions to the marked exercices in the Book are found here


    Review for the 1st edition which appeared in GRG 41, p1671, July 2009.
    A least one reader who likes my book!



    • THE COSMIC MICROWAVE BACKGROUND (1st Edition)


Cambridge University Press 2008


  • DESCRIPTION: see table of content here  



  • ERRORS, TYPOS of the 1st Edition:

    • Back cover
    The artist who painted the cover illustration is not 'Mark Zimmerman' but my favorite artist Martin Zimmermann ... what a shame...

    p xii, Preface
    I forgot to mention Filippo Vernizzi who read parts (especially chaps. 1 and 2) and gave me many important feedbacks. How could this happen? Sorry Filippo!

    p22 eq. 1.83
    the integrand should be σTne a not a-1

    p24 displayed eqn. below eq. (1.87)
    The terms after the first and second equal sign have to be multiplied by 1/2

    p24 last line this should of course be


    p46 below eq. 1.152
    I should have added the remark that the often used slow roll parameters ε and η
    relate to mine via ε1=ε and ε2=-3η

    p46 eq. 1.153

    factor 4 missing

    p47 eq. 1.157
    The second term on the rhs should be -(4-n)/2 ... (not +)
    (thanks to Hideki Perrier )

    p47 line below eq. 1.158
    The square root on the expression for φ' should go over all of λn/24π
    (thanks to Hideki Perrier )

    p62 eq. 2.25
    the V's should be B's
    (thanks to Francesco Montanari )

    p64 eq. 2.39
    factor 1/3 in front of the 1st term missing, and the 2nd term should be negative.:
    nμ;ν = 1/3 Pμ νθ - aμnν + σμν +ωμν

    p64 eq. 2.41
    factor 1/3 in front of the 2nd term on the rhs is missing. p65 eq. 2.54
    the lhs should be hμν dxμdxν
    (thanks to Francesco Montanari )

    p69 eq. 2.90
    The first term on the r.h.s. should be multiplied with 1/3, the second term should be negative.
    (thanks to Hideki Perrier )

    p69 eq. 2.94
    The last term on the r.h.s. should be negative.
    (thanks to Hideki Perrier )

    p70 eqs. 2.99 and 2.1001
    On the r.h.s. of (2.99) a factor 1/2 is missing and in (2.100) V should be replaced by Ω
    (thanks to Hideki Perrier )

    p70 eq. 2.101
    In the subscripted relation the rhs should be O(1/(at)2)
    (thanks to Francesco Montanari )

    p71 above eq. 2.103
    G0iμ should be G0μ and T0iμ should be T0μ
    (thanks to Francesco Montanari )

    p74 first line of eq. 2.122
    πL should be PπL
    (thanks to Francesco Montanari )

    p77 above eq. 2.144
    the K has to be upper case
    (thanks to David Matravers )

    p76, par. above eq. 2.138
    Φ and Ψ have to be interchanged at all 3 occasions.

    p77 eq. 2.145
    the -cs2k2... should be X cs2k2...
    (thanks to Lukas Hollenstein )

    p86 line above eq. 2.211
    The phrase 'The radiation perturbation equations reduce to...' has to be replaced by a better explanation, like: 'We now assume the
    Bardeen potentials are given by the dominant matter perturbations, Ψ = Φ = Φ0. The radiation perturbation equations reduce to...'
    (thanks to Hideki Perrier )

    p96 eq. 2.246, 2nd line
    jl'( k(t0 - tdec) Pl(k·n)Pl( k ·n')
    There should be no primes on the k's.

    p98 3rd line of text
    As2/9 should be replaced by As/9 and 4As2 should be replaced by 4As .
    (thanks to Graeme Nash )

    p98 eq. (2.252)
    V(r) should be replaced by V(b).

    p106 eq. 3.7
    A term is missing on the r.h.s.
    (thanks to Rajeev Jain )

    p108 below eq. (3.21)
    the term on the rhs should be H2 (the square is missing).
    (thanks to Rajeev Jain )

    p109 above eq. 3.30 and p114, line below eq. 3.56
    The ref. should be to eq. (1.151) not (1.152). The same with

    p115, line below eq. (3.49)
    'Inserting Eq. (3.48) with...' can be replaced by 'With...'
    I also forgot to formulate the corresponding exercice. (thanks to Hideki Perrier )

    p115, line below eq. (3.60)
    The ref. should be to eq. (1.153) not (1.154). The same with

    p116
    Refs. should be to eqs. (2.115), (2.107), (2.104) and (2.108)
    and not to (2.116) (2.108) (2.105 )and (2.109) respectively.

    p117 two lines above eq. 3.70
    Ya/2-9 should be replaced by Y1/2-q

    p122
    Refs.should be to eqs. (2.123), (2.136), (2.137),(2.118) and (2.110)
    and not to (2.124), (2.137), (2.138),(2.119) and (2.111) respectively.
    (thanks to Francesco Montanari )

    p123, 4th line below eq (3.101)
    H(a=0.1) should be H-1(a=0.1)
    (thanks to Francesco Montanari )

    p126 top line
    The ref. should be to eq. (2.114) not (2.115).
    (thanks to Francesco Montanari )

    p131, Ex. 3.1, 3rd line
    The ...if and only if... should be replaced by ...only if... (there are also other solutions).
    (thanks to Roy Maartens)

    p132, Ex. 3.3 point (i)
    a=ρr /ρm should be a=ρm/ρr
    (thanks to Francesco Montanari )

    p134, 5th line below eq. (4.1)
    The ref. should be to eq. (1.88) not (1.89).
    There might be more such shifts in the Refs. to chapter 1 and 2
    (thanks to David Matravers)

    p138, eq. 4.21 should be
    no tilde on the red p's
    (thanks to David Matravers and Sandro Scodeller )

    p154 eq. (4.99)
    first term on rhs should have the opposite sign, -nidi(Ψ +Φ)
    (thanks to Francesco Montanari )

    p158 par. below eq. 4.111
    'monopole term with does not' should be 'monopole term which does not'

    p159 par. below eq. 4.117
    ref should be to eq. (2.240)
    (thanks to Francesco Montanari )

    p172 last term of eq. 4.174
    -Ml(S) should be (δl0-1) Ml(S)
    (thanks to Francesco Montanari )

    p192 last term of eq. 5.82 and 5.83
    2rot rot P should be -2irot div P
    (thanks to Norbert Straumann )

    p199 eq. 5.119, 5.120

    Ylm and factors ik are missing
    (thanks to Norbert Straumann)

    p200 eq. 5.122

    factors 3 should be 6
    (thanks to Norbert Straumann)

    p201 eq. 5.126
    the 3rd term on the lhd should be

    2l-1 not 2l+1
    (thanks to Elisa Fenu)

    p212 eq. 6.5 should be

    (thanks to Kimmy Wai Ling Wu)

    p212 displayed eq. below 6.6
    This should be λn = a0cstdec/n
    (thanks to Kimmy Wai Ling Wu)

    p212 eq. 6.7
    The factor 1/(1+z) is missing in the Ωb term

    p213 Fig. 6.1
    The caption should contain the sentence 'For the dashed and dotted lines ΩK = 0.'

    p218 eq. 6.11
    the second Delta is missing
    (thanks to Claudia Scoccola)

    p256 2nd line from below
    The ref. should be to eq. (2.230) not (2.231).
    p258 third line above eq. (6.76)
    The ref. should be to eq. (2.242) not (2.243).
    p264 line 17
    The ref. should be to eq. (2.238) not (2.239).
    (thanks to Graeme Nash)

    p262 line 17
    The remark on exercise 6.4 is wrong. Actually the circle is squashed in the direction
    from the lens to its center and it is elongated in the directions normal to it.
    (thanks to Graeme Nash)

    p281 eq. 7.16
    4πGa2(D+ Π) should be 4πGa2ρ(D+ wΠ)

    p282 9th line from bottom
    The ref. should be to eq. (2.240) not (2.140).
    p283 2nd line
    The ref. should be to eq. (2.216) not (2.217).
    (thanks to Graeme Nash)

    p285 eq. (7.27)
    A factor l2 is missing in front of RΨ.
    (thanks to Hamsa Padmanabhan)

    p286 eq. (7.30), 1st and 2nd line
    A factor l2 is missing in front of RΨ.
    (thanks to Hamsa Padmanabhan)

    p287 eq. (7.35)
    The integrand dφ is missing in the middle term.
    (thanks to Hamsa Padmanabhan)

    p287 eq. (7.65)
    The integrand dφ is missing in the first line.
    The same in the second line where the φ after the square bracket should be dφ
    (thanks to Hamsa Padmanabhan)

    p289 line before last
    The angle r=0.05 radians corresponds to l=π/r ∼ 60 (not 20).
    (thanks to Graeme Nash)

    p308 2nd line after 1st displyed eqn. and twice in the last eqn.
    p312 eq. (8.26)
    m has to be replaced by me
    (thanks to Graeme Nash)

    p312 2nd line below eq. (8.23)
    ω=v2min/(2m) has to be replaced by ω=mev2min/2 .

    p326 1st eq. 4th line
    To 5 significant figures actually 1GeV = 5.0677x1013cm-1 (not 5.0684x1013cm-1) .
    (thanks to Graeme Nash)

    p330 eq. A2.4
    part after the = sign is wrong
    (thanks to Richard Shaw)

    p330 below eq. A2.15
    the determinant is on the wrong side of the eqn.
    (thanks to Rajeev Jain)

    p339 below eq. A3.56
    A factor a-2 is missing on the r.h.s.

    p352 2 lines above eq. A4.72
    V+;- should be V+;- and V-;+ should be V-;+

    p352 eq. A4.74
    -εikεjmTij;km = -rot (rot(T)) should be -iεik(Tij; j)k = -i rot(div T))

    p352 2 lines below eq. A4.74
    'double curl' should be 'the curl of the divergence'

    p362 below eq. A6.5
    ref. should be to eq. (2.129) not (2.130).
    (thanks to Francesco Montanari )

    p363 eq. A6.10 last term
    The prefactor 3/2 should be replaced by 2/3
    (thanks to Francesco Montanari )

    p385 Fig. A10.1
    The caption is of course wrong. This should be: ... The universes with values of (Ωm, ΩΛ) in the dashed region expand forever. Those below emerge from a big bang and recollapse into a big crunch, those above...
    (thanks to Roberto Trotta )

    p386 eq. A10.6
    T,i should be T,i
    (thanks to Francesco Montanari )

    p389 eq. in middle
    l-1, not l



    Found any typo in the 2nd edition my book? Let me know so I can compose this list also for the 2nd edition (hopefully much shorter....).