Dynamic Field Theory and Equations of Motion in Cosmology

Understand

We discuss a field-theoretical approach based on variational principle to derive the field and hydrodynamic equations of motion of baryonic matter governed by cosmological perturbations of dark matter and dark energy.

• The action depends on the gravitational and matter Lagrangian.
• The gravitational Lagrangian depends on the metric tensor and its first and second derivatives.
• The matter Lagrangian includes dark matter, dark energy and the ordinary baryonic matter.