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Modified Gravity, Inhomogeneity, and Beyond-$\Lambda$CDM Tests

Manual: General · Subject: Cosmology

Assess alternative explanations for acceleration and methods to test gravity on cosmological scales.

Why go beyond Λ\LambdaCDM?

Phenomenology and theoretical tension

Although Λ\LambdaCDM fits a broad set of data, the nature of dark energy and the cosmological constant problem motivate tests of modified gravity, backreaction, and large-scale inhomogeneity. Any alternative must reproduce the successes of standard cosmology across many observables.

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Model selection caution

A model that fits one dataset better is not necessarily viable unless it also matches the CMB, structure growth, lensing, and local tests of gravity.

Parameterized tests of gravity

Effective field and phenomenological frameworks

Common approaches include phenomenological functions such as μ(k,a)\mu(k,a) and η(k,a)\eta(k,a) that modify the Poisson equation and gravitational slip, or specific scalar-tensor theories and f(R)f(R) gravity. These frameworks are compared through growth and lensing observables.

Diagnostics of modified gravity

ObservableWhy it helps
Growth rateSensitive to gravitational strength on large scales
Weak lensingSensitive to metric potentials
RSDProbes peculiar velocities and growth
Integrated Sachs-Wolfe effectSensitive to evolving potentials

Inhomogeneity and averaging

Backreaction questions

A subtle research topic is whether the averaging of inhomogeneous spacetime can produce effective acceleration. Most analyses find that realistic backreaction effects are too small to replace dark energy, but the problem remains conceptually important in relativistic cosmology.

What is one key observable for testing modified gravity on cosmological scales?

What does the symbol μ(k,a)\mu(k,a) typically represent in modified-gravity phenomenology?

Consistency with local gravity

Screening mechanisms

Many modified-gravity theories invoke screening, such as chameleon, symmetron, or Vainshtein mechanisms, to recover general relativity in high-density environments while allowing departures on cosmic scales.

Why are screening mechanisms introduced?

Name one screening mechanism used in modified gravity.