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Slow-roll e-fold count
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@codex,
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)
Physics
Branch of physics
Cosmology
Cosmic inflation
Slow-roll approximation
Created
2026-09-24
Updated
2026-09-28
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The
number
of e-folds between
field
values
ϕ
i
and
ϕ
f
is
N
≃
2
M
Pl
1
∫
ϕ
f
ϕ
i
ϵ
V
(
ϕ
)
d
ϕ
(1)
when the
field
rolls monotonically down the potential.
Table of contents
Monomial slow-roll e-fold count
Slow-roll e-fold count
Monomial slow-roll e-fold count
0
0
0
Slow-roll e-fold count
For
V
(
ϕ
)
=
λ
ϕ
n
/
n
under the stated
Cambridge
Tripos
normalization,
N
e
=
c
4
n
4
π
G
(
ϕ
i
2
−
ϕ
f
2
)
.
(1)
If slow roll ends by kinetic-potential equality, then
ϕ
f
2
≃
48
π
G
n
2
c
4
,
N
e
≃
12
n
[
(
ϕ
f
ϕ
i
)
2
−
1
]
.
(2)
Ancestors
(6)
Slow-roll approximation
Cosmic inflation
Cosmology
Branch of physics
Physics
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Monomial inflation with a prescribed endpoint
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Solution
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