224
Inflationary cosmology
7.13 Exercises
I. Obtain an alternative derivation of the equation of motion (7.33) for q, from
the energy-momentum conservation equation.
2. Generalize the equation of motion for the inftation field q,(t, x) to include
spatial variation (7.94).
3. Redo the calculations of section 7.8 for the potential
v = Vo - aq,2 + Aq,4 with a,A > 0
4. Derive the suffiicient conditions (7.142) to (7.144) for the slow roll for a
complex inftation field.
7.14 General references
The books and review articles that we have found most useful in preparing this
chapter are:
• Kolb E Wand Turner M S 1990 The Early Universe (Reading, MA:
Addison-Wesley)
• Liddle A R and Lyth D H 2000 Cosmological Inflation and Large-Scale
Structure (Cambridge: Cambridge University Press)
• Olive K A 1990 Inflation Phys. Rep. 190 307
Bibliography
[I] Guth A H 1981 Phys. Rev. D 23 347
[2) Guth A H and Weinberg E 1983 Nucl. Phys. 8212321
[3) Linde A 1982 Phys. Len. 8 108389
[4) Albrecht A and Steinhardt P J 1982 Phys. Rev. Len.48 1220
(5) Steinhardt P J and Turner MS 1984 Phys. Rev. D 292162
[6] Albrecht A, Steinhardt P J, Turner M S and Wilczek F 1982 Phys. Rev. Len.48 1437
[7] Dolgov A D and Linde A D 1982 Phys. Len. 8 116329
[8] Abbott L, Farhi E and Wise M 8 1982 Phys. Len. 8 117 29
[9] Turner M S 1983 Phys. Rev. D 28 1243
[10] Kofman L, Linde A and Starobinsky A A 1997 Phys. Rev. D 56 3258
[11] Linde A D 1982 Phys. Len. 8 116335
[12] Yilenkin A and Ford L 1982 Phys. Rev. D 261231
[13) Yilenkin A 1983 Nucl. Phys. B 226 527
[14] Guth A H and Pi S Y 1982 Phys. Rev. Len. 491110
[15] Bardeen J A. Steinhardt P J and Turner MS 1983 Phys. Rev. D 28 679
[16) Lyth D H 1985 Phys. Rev. D 311792
[17) Olson D W 1976 Phys. Rev. D 14 327
[18] Bailin D, Kraniotis Y G and Love A 1998 Phys. Len. B 443 III
[19) Linde A D 1983 Phys. Len. B 129 177
[20] Linde A D 1991 Phys. Len. B 259 38
Inflationary cosmology
7.13 Exercises
I. Obtain an alternative derivation of the equation of motion (7.33) for q, from
the energy-momentum conservation equation.
2. Generalize the equation of motion for the inftation field q,(t, x) to include
spatial variation (7.94).
3. Redo the calculations of section 7.8 for the potential
v = Vo - aq,2 + Aq,4 with a,A > 0
4. Derive the suffiicient conditions (7.142) to (7.144) for the slow roll for a
complex inftation field.
7.14 General references
The books and review articles that we have found most useful in preparing this
chapter are:
• Kolb E Wand Turner M S 1990 The Early Universe (Reading, MA:
Addison-Wesley)
• Liddle A R and Lyth D H 2000 Cosmological Inflation and Large-Scale
Structure (Cambridge: Cambridge University Press)
• Olive K A 1990 Inflation Phys. Rep. 190 307
Bibliography
[I] Guth A H 1981 Phys. Rev. D 23 347
[2) Guth A H and Weinberg E 1983 Nucl. Phys. 8212321
[3) Linde A 1982 Phys. Len. 8 108389
[4) Albrecht A and Steinhardt P J 1982 Phys. Rev. Len.48 1220
(5) Steinhardt P J and Turner MS 1984 Phys. Rev. D 292162
[6] Albrecht A, Steinhardt P J, Turner M S and Wilczek F 1982 Phys. Rev. Len.48 1437
[7] Dolgov A D and Linde A D 1982 Phys. Len. 8 116329
[8] Abbott L, Farhi E and Wise M 8 1982 Phys. Len. 8 117 29
[9] Turner M S 1983 Phys. Rev. D 28 1243
[10] Kofman L, Linde A and Starobinsky A A 1997 Phys. Rev. D 56 3258
[11] Linde A D 1982 Phys. Len. 8 116335
[12] Yilenkin A and Ford L 1982 Phys. Rev. D 261231
[13) Yilenkin A 1983 Nucl. Phys. B 226 527
[14] Guth A H and Pi S Y 1982 Phys. Rev. Len. 491110
[15] Bardeen J A. Steinhardt P J and Turner MS 1983 Phys. Rev. D 28 679
[16) Lyth D H 1985 Phys. Rev. D 311792
[17) Olson D W 1976 Phys. Rev. D 14 327
[18] Bailin D, Kraniotis Y G and Love A 1998 Phys. Len. B 443 III
[19) Linde A D 1983 Phys. Len. B 129 177
[20] Linde A D 1991 Phys. Len. B 259 38