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Related Concept Videos

Measurements of Strain01:27

Measurements of Strain

Strain quantifies the deformation of a material under force, typically measured as normal strain, which represents the change in length when compared with the original length. Electrical strain gauges are used for enhanced accuracy. These devices consist of a conductive wire mounted on a paper backing that adheres to the material's surface. These gauges operate on the piezoresistive effect, where the wire's electrical resistance changes in response to mechanical deformation. The strain gauge...
Transformation of Plane Strain01:12

Transformation of Plane Strain

When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
Space-Time Curvature and the General Theory of Relativity01:17

Space-Time Curvature and the General Theory of Relativity

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.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of motion,...
Second Order systems II01:18

Second Order systems II

In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
If  ζ...
The Principle of Superposition and the Gravitational Field01:17

The Principle of Superposition and the Gravitational Field

The principle of superposition applies to gravitational forces of objects that are sufficiently far apart. It states that the net gravitational force on a point object is the vector sum of the gravitational forces on it due to various objects. The principle helps calculate the force by listing the individual forces and then vectorially summing them up. However, it should be noted that the principle of superposition is not always apparent. In the presence of a second force, the first force could...
Castigliano's Theorem01:18

Castigliano's Theorem

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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Published on: August 12, 2013

Observable Gravitational Wave Strain at Second Order.

Guillem Domènech1,2, Shi Pi3,4,5, Ao Wang1,3,6

  • 1Leibniz University Hannover, Institute for Theoretical Physics, Appelstraße 2, 30167 Hannover, Germany.

Physical Review Letters
|June 22, 2026
PubMed
Summary
This summary is machine-generated.

We define second-order gravitational wave strain using observable electromagnetic signals, resolving gauge ambiguities in cosmological perturbation theory. This clarifies secondary gravitational waves, particularly those from primordial fluctuations.

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Area of Science:

  • Cosmology
  • General Relativity
  • Gravitational Wave Physics

Background:

  • Defining gravitational wave strain at second order in cosmological perturbation theory lacks rigor.
  • Gauge dependence of transverse and traceless fluctuations complicates secondary gravitational waves, especially those from primordial fluctuations.

Purpose of the Study:

  • To compute the observable gravitational wave strain at second order.
  • To resolve gauge ambiguities in the definition of secondary gravitational waves.

Main Methods:

  • Gauge-invariant computation of gravitational wave strain.
  • Utilizing geodesic observers emitting and receiving electromagnetic signals.

Main Results:

  • The observable gravitational wave strain at second order is computed for the first time.
  • The measured strain coincides with transverse-traceless components in the Newton gauge.

Conclusions:

  • Gauge ambiguities in secondary gravitational wave definitions are settled.
  • Provides a rigorous definition for second-order gravitational wave strain in cosmology.