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Related Concept Videos

Related Rates01:18

Related Rates

When two or more physical quantities are linked by a single relationship, a change in one variable necessarily affects the others. This interdependence forms the basis of related rates analysis, which examines how different quantities change with respect to time. A classic physical example is an expanding balloon, where the size of the balloon changes continuously as air is added.For a hot air balloon, the inflated envelope is commonly idealized as a perfect sphere to simplify mathematical...
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Sound as Pressure Waves

Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
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In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
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Resultant Moment: Scalar Formulation01:31

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Impulse-Momentum Theorem00:49

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Backreaction during inflation: a physical gauge invariant formulation.

F Finelli1, G Marozzi, G P Vacca

  • 1INAF/IASF Bologna, Istituto di Astrofisica Spaziale e Fisica Cosmica di Bologna via Gobetti 101, I-40129 Bologna, Italy.

Physical Review Letters
|April 27, 2011
PubMed
Summary

We investigate quantum backreaction from scalar fluctuations during cosmic inflation. Free-falling observers experience no backreaction under specific conditions, impacting effective Hubble rate and fluid equation of state.

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Area of Science:

  • Cosmology
  • Quantum Field Theory
  • General Relativity

Background:

  • Cosmological backreaction is crucial for understanding the universe's evolution.
  • Previous studies often lacked gauge invariance, limiting their applicability.
  • Scalar fluctuations during inflation are a key area of research.

Purpose of the Study:

  • To compute cosmological backreaction in a genuinely gauge-invariant manner.
  • To analyze the impact of scalar fluctuations on spacetime dynamics during inflation.
  • To identify conditions under which observers experience no scalar-induced backreaction.

Main Methods:

  • Development of a novel, genuinely gauge-invariant approach.
  • Utilizing effective equations to describe averaged geometry dynamics.
  • Analysis within a cosmological inflationary context.

Main Results:

  • A gauge-independent computation of quantum backreaction is achieved.
  • The impact of long-wavelength scalar fluctuations on spacetime is quantified.
  • Conditions are derived where free-falling (geodetic) observers show no scalar-induced backreaction.

Conclusions:

  • The developed gauge-invariant method provides a robust framework for cosmological backreaction studies.
  • Understanding observer-dependent backreaction is essential for accurate cosmological models.
  • Specific conditions can render scalar-induced backreaction negligible for certain observers.