Theoretical frameworks proposing modifications to general relativity to explain dark phenomena without dark matter.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.
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.
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.
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.
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.
| S | variable | Action of the theory — action joule second |
| g | variable | Determinant of the spacetime metric tensor — metric determinant |
| φ | variable | Scalar field non-minimally coupled to gravity — scalar field |
| R | variable | Ricci scalar curvature — ricci scalar per metre squared |
| ∂φ | variable | Gradient of the scalar field — field gradient per metre |
| ∫ d⁴x | operator | Integration over four-dimensional spacetime — four dimensional integral |
| √(-g) | operator | Volume element factor for curved spacetime — sqrt negative metric determinant |
| (∂φ)² | operator | Kinetic term of the scalar field, contraction of its gradient with itself — kinetic term |










