Lagrangian Extensions of Newtonian Gravity
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Lagrangian Extensions of Newtonian Gravity constrained by Solar System tests
Announce Type: cross Abstract: We explore an extension to Newtonian gravity through a generalised Lagrangian function with the introduction of a second dynamical scalar field. Building on previous research into gravity with variable gravitational coupling, the work derives the complete field equations and applies a weak-field approximation. This leads to an effective post-Newtonian gravitational potential that includes key aspects of relativistic theories.