Practical tools for third order cosmological perturbations

Journal of Cosmology and Astroparticle Physics

Volumn 2009, Issue 11, 2009, Pages

  Christopherson, Adam J ^a   Malik, Karim A ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Cosmological perturbation theory; Physics of the early universe

Indexed keywords

EID: 70449782512     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2009/11/012     Document Type: Article

References (35)

1. E.M. Lifshitz, 1946 On the gravitational stability of the expanding universe J. Phys. (USSR) 10 116
2. W.B. Bonnor, 1957 Jeans' formula for gravitational instability Mon. Not. Roy. Astron. Soc. 117 104
3. K. Tomita, 1967 Non-linear theory of gravitational instability in the expanding universe, Prog. Theor. Phys. 37 831
4. K. Tomita, 1971 Non-linear theory of gravitational instability in the expanding universe II, Prog. Theor. Phys. 45 1747
5. K. Tomita, 1972 Non-linear theory of gravitational instability in the expanding universe III, Prog. Theor. Phys. 47 416
6. J.M. Bardeen, 1980 Gauge invariant cosmological perturbations, Phys. Rev. D 22 1882
7. H. Kodama and M. Sasaki, 1984 Cosmological perturbation theory, Prog. Theor. Phys. Suppl. 78 1
8. V.F. Mukhanov, H.A. Feldman and R.H. Brandenberger, 1992 Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions, Phys. Rept. 215 203
9. R. Durrer, 1994 Gauge invariant cosmological perturbation theory: a general study and its application to the texture scenario of structure formation Fund. Cosmic Phys. 15 209 [astro-ph/9311041]
10. N. Bartolo, E. Komatsu, S. Matarrese and A. Riotto, 2004 Non-Gaussianity from inflation: theory and observations, Phys. Rept. 402 103 [astro-ph/0406398]
11. K. Nakamura, 2005 Second order gauge invariant perturbation theory, Prog. Theor. Phys. 113 481 [gr-qc/0410024]
12. K.A. Malik and D.R. Matravers, 2008 A concise introduction to perturbation theory in cosmology, Class. Quant. Grav. 25 193001 [0804.3276]
13. K.A. Malik and D. Wands, 2009 Cosmological perturbations, Phys. Rept. 475 1 [0809.4944]
14. M. Bruni, S. Matarrese, S. Mollerach and S. Sonego, 1997 Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond, Class. Quant. Grav. 14 2585 [gr-qc/9609040]
15. H. Noh and J.-C. Hwang, 2004 Second-order perturbations of the Friedmann world model, Phys. Rev. D 69 104011
16. J.-C. Hwang and H. Noh, 2005 Third order perturbations of a zero-pressure cosmological medium: pure general relativistic nonlinear effects, Phys. Rev. D 72 044012 [gr-qc/0412129]
17. J. Hwang and H. Noh, 2007 Third-order cosmological perturbations of zero-pressure multi-component fluids: pure general relativistic nonlinear effects J. Cosmol. Astropart. Phys. JCAP12(2007)003 [0704.2086]
18. J.-L. Lehners and S. Renaux-Petel, 2009 Multifield cosmological perturbations at third order and the ekpyrotic trispectrum, Phys. Rev. D 80 063503 [0906.0530]
19. C. Clarkson, K. Ananda and J. Larena, 2009 The influence of structure formation on the cosmic expansion, Phys. Rev. D 80 083525 [0907.3377]
20. A.J. Christopherson, K.A. Malik and D.R. Matravers, 2009 Vorticity generation at second order, Phys. Rev. D 79 123523 [0904.0940]
21. V.F. Mukhanov, L.R.W. Abramo and R.H. Brandenberger, 1997 On the back reaction problem for gravitational perturbations, Phys. Rev. Lett. 78 1624 [gr-qc/9609026]
22. J.M. Bardeen, P.J. Steinhardt and M.S. Turner, 1983 Spontaneous creation of almost scale-free density perturbations in an inflationary universe, Phys. Rev. D 28 679
23. J.M. Maldacena, 2003 Non-Gaussian features of primordial fluctuations in single field inflationary models J. High Energy Phys. JHEP05(2003)013 [astro-ph/0210603]
24. D.S. Salopek and J.R. Bond, 1990 Nonlinear evolution of long wavelength metric fluctuations in inflationary models, Phys. Rev. D 42 3936
25. A.J. Christopherson and K.A. Malik, 2009 The non-adiabatic pressure in general scalar field systems, Phys. Lett. B 675 159 [0809.3518]
26. K. Enqvist, J. Hogdahl, S. Nurmi and F. Vernizzi, 2007 Covariant generalization of cosmological perturbation theory, Phys. Rev. D 75 023515 [gr-qc/0611020]
27. A.R. Liddle and D.H. Lyth, 2000 Cosmological inflation and large-scale structure, Cambridge University Press, Cambridge U.K.
28. K.A. Malik, 2007 A not so short note on the Klein-Gordon equation at second order J. Cosmol. Astropart. Phys. JCAP03(2007)004 [astro-ph/0610864]
29. K.A. Malik and A.J. Christopherson, in preparation
30. D.H. Lyth, K.A. Malik and M. Sasaki, 2005 A general proof of the conservation of the curvature perturbation J. Cosmol. Astropart. Phys. JCAP05(2005)004 [astro-ph/0411220]
31. K.A. Malik and D. Wands, 2004 Evolution of second order cosmological perturbations, Class. Quant. Grav. 21 L65 [astro-ph/0307055]
32. D. Seery, K.A. Malik and D.H. Lyth, 2008 Non-Gaussianity of inflationary field perturbations from the field equation J. Cosmol. Astropart. Phys. JCAP03(2008)014 [0802.0588]
33. D. Seery, M.S. Sloth and F. Vernizzi, 2009 Inflationary trispectrum from graviton exchange J. Cosmol. Astropart. Phys. JCAP03(2009)018 [0811.3934]
34. K. Peeters, 2007 A field-theory motivated approach to symbolic computer algebra, Comput. Phys. Commun. 176 550 [cs/0608005]
35. Introducing Cadabra: a symbolic computer algebra system for field theory problems, [hep-th/0701238]