Modified Gravity, Inhomogeneity, and Beyond-$\Lambda$CDM Tests
Why go beyond CDM?
Phenomenology and theoretical tension
Although CDM 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.
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 and that modify the Poisson equation and gravitational slip, or specific scalar-tensor theories and gravity. These frameworks are compared through growth and lensing observables.
Diagnostics of modified gravity
| Observable | Why it helps |
|---|---|
| Growth rate | Sensitive to gravitational strength on large scales |
| Weak lensing | Sensitive to metric potentials |
| RSD | Probes peculiar velocities and growth |
| Integrated Sachs-Wolfe effect | Sensitive 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?
Weak lensing is directly sensitive to the metric potentials and growth of structure.
Correct answer: Weak lensing shear correlations
What does the symbol typically represent in modified-gravity phenomenology?
It parameterizes departures from the standard Poisson relation in Fourier space and time.
Correct answer: effective modification to gravitational strength
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?
Screening suppresses fifth-force effects where local tests of gravity are stringent.
Correct answer: To hide deviations from general relativity in dense environments
Name one screening mechanism used in modified gravity.
Chameleon screening is one example; Vainshtein and symmetron are others.
Correct answer: chameleon