concept

alternative gravity theories

Theoretical frameworks proposing modifications to general relativity to explain dark phenomena without dark matter.
23 related articles · 1 formulas

Description

Alternative gravity theories are theoretical frameworks that propose modifications to general relativity to explain cosmic phenomena—such as galaxy rotation curves and the accelerated expansion of the universe—without invoking dark matter or dark energy. Instead of adding invisible substances, these theories alter the laws of gravity at large scales or in weak-field regimes. They aim to account for observations like gravitational lensing, the cosmic microwave background, and the dynamics of galaxy clusters purely through geometric or field-theoretic adjustments to Einstein's equations.

History

The idea dates back to the early 20th century, with Einstein himself exploring unified field theories. Modern alternatives gained traction in the 1980s with Mordehai Milgrom's MOND, followed by relativistic extensions like Tensor-Vector-Scalar (TeVeS) theory by Jacob Bekenstein in 2004.

How it works

Most alternative theories introduce additional fields, higher-order curvature terms, or non-local effects into the gravitational action. For example, f(R) gravity replaces the Ricci scalar R with a function f(R), while Modified Newtonian Dynamics (MOND) adjusts the force law below a characteristic acceleration. These modifications change how spacetime curvature responds to matter, producing effects that mimic dark matter's gravitational pull or dark energy's repulsion. The theories are constrained by solar-system tests, gravitational-wave observations, and cosmological data, which narrow the allowed parameter space.

In practice

These theories guide the design of precision tests for gravity, such as satellite missions measuring the equivalence principle and analyses of gravitational-wave signals from merging black holes.

Fun fact

Some alternative gravity theories predict that gravitational waves travel at slightly different speeds than light, a prediction now tightly constrained by the 2017 neutron-star merger observation GW170817.

Concept graph →

Formulas

$$S = \int d^4x \sqrt{-g} \left[ f(\phi,R) - \frac{1}{2}(\partial\phi)^2 \right]$$
General action for scalar-tensor gravity with non-minimal coupling.
What is in the formula
SvariableAction of the theory — action joule second
gvariableDeterminant of the spacetime metric tensor — metric determinant
φvariableScalar field non-minimally coupled to gravity — scalar field
RvariableRicci scalar curvature — ricci scalar per metre squared
∂φvariableGradient of the scalar field — field gradient per metre
∫ d⁴xoperatorIntegration over four-dimensional spacetime — four dimensional integral
√(-g)operatorVolume element factor for curved spacetime — sqrt negative metric determinant
(∂φ)²operatorKinetic term of the scalar field, contraction of its gradient with itself — kinetic term
s=\intd^4x\sqrt{-g}[j(r/φ^2)φ^4-\frac{1}{2}(\partialφ)^2] · 2606.31472

Related articles · 23

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