Exponential expansion of inflation

In summary: Yes, expansion during inflation isn't quite exponential because the field that drives inflation isn't constant. The field just varies slowly enough that near-exponential expansion occurs.
  • #1
Ranku
423
18
The expansion of the inflationary universe is said to be roughly exponential. Why is it called "roughly" exponential?
 
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  • #2
Ranku said:
The expansion of the inflationary universe is said to be roughly exponential.

In what source? Please give a specific reference.
 
  • #3
It's mentioned in most cosmology texts, e.g. Cosmology by Steven Weinberg, in Inflation chapter.
 
  • #4
Ranku said:
It's mentioned in most cosmology texts, e.g. Cosmology by Steven Weinberg, in Inflation chapter.

Ok, so can you give a specific quote and page/section reference?
 
  • #5
"...there was an earlier period of inflation, when the energy density of the universe was dominated by a slowly varying vacuum energy, and a(t) grew more or less exponentially." Pg. 201.
 
  • #6
I would say the "more or less exponentially" is a consequence of the "slowly varying vacuum energy". As I understand it, only a vacuum energy that is exactly constant will lead to an expansion that is exactly exponential.
 
  • #7
PeterDonis said:
I would say the "more or less exponentially" is a consequence of the "slowly varying vacuum energy". As I understand it, only a vacuum energy that is exactly constant will lead to an expansion that is exactly exponential.
It's more that only in a universe with nothing in it but vacuum energy will the expansion be exactly exponential. It's not quite exponential because there's other matter around.
 
  • #8
Chalnoth said:
It's not quite exponential because there's other matter around.

Is there, though? As I understand the basic inflation model, the Standard Model fields are all in their vacuum states during inflation, and all of these fields have zero vacuum expectation value for energy; they only get reheated to highly non-vacuum, high temperature states at the end of inflation.
 
  • #9
PeterDonis said:
Is there, though? As I understand the basic inflation model, the Standard Model fields are all in their vacuum states during inflation, and all of these fields have zero vacuum expectation value for energy; they only get reheated to highly non-vacuum, high temperature states at the end of inflation.
Argh, sorry, you're right. I was thinking of the current near-exponential expansion. Never mind.

Yes, expansion during inflation isn't quite exponential because the field that drives inflation isn't constant. The field just varies slowly enough that near-exponential expansion occurs.
 
  • #10
Thank you for clarifying the issue.
 

FAQ: Exponential expansion of inflation

What is the concept of exponential expansion of inflation?

The exponential expansion of inflation is a theory in cosmology that describes the rapid expansion of the universe in the first fractions of a second after the Big Bang. It suggests that the universe underwent a period of extremely rapid expansion, growing exponentially in size and energy, before settling into a slower rate of expansion.

How does the exponential expansion of inflation explain the current size and structure of the universe?

The exponential expansion of inflation helps explain the current size and structure of the universe by providing a mechanism for the universe to become smooth and uniform on a large scale. This theory also explains the lack of observable curvature and the observed flatness of the universe.

What evidence supports the concept of exponential expansion of inflation?

There are several pieces of evidence that support the concept of exponential expansion of inflation. These include the observed uniformity and flatness of the universe, the existence of structures on a large scale, and the overall structure of the cosmic microwave background radiation. Additionally, recent observations of the gravitational waves produced by the rapid expansion in the early universe provide strong evidence for inflation.

Are there any alternative theories to explain the rapid expansion of the universe?

Yes, there are alternative theories to explain the rapid expansion of the universe, such as the "big bounce" theory, which suggests that the universe underwent cycles of expansion and contraction, and the "string gas cosmology" theory, which proposes that the universe was initially filled with a gas of strings that expanded rapidly before cooling and forming matter. However, the exponential expansion of inflation is currently the most widely accepted theory.

Can the exponential expansion of inflation be tested or observed?

Yes, the exponential expansion of inflation can be tested and observed through various methods, such as studying the cosmic microwave background radiation and measuring the large-scale structures of the universe. Additionally, experiments such as the BICEP and Planck collaborations have provided strong evidence for inflation through the detection of gravitational waves and precise measurements of the cosmic microwave background radiation, respectively.

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