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Visual Physics Proper Time Adjusted Special Relativity  sim  Gravitation: Extrinsic Relativity Electrostatic Field and EM Waves Quanta, Wave-Particle Duality and the Uncertainty Principle Related topics Theoretical Considerations Metatheoretical Considerations Sociological Considerations   stb  See also History of the Visual Physics Project About the Site Guest Post at Tommaso Dorigo's Blog: Extrinsic Relativity Help Out Open Questions Stubs edit Open Questions Equation of Motion of a Particle in a Gravitation Field Inverse Derivation of the Lorentz Transformation Extrinsic Formulation of General Relativity See also Stubs edit Proper Time Adjusted Special Relativity  sim  Spacelines and Timelines  stb  Speed of Light and the "Rate of Propagation of Time"  sim  The Proper Time of Photons and the Nature of Light Linear and Angular Quantities in the Curved Expanding Universe  stb  Implications for Theories Based on the Minkowski Spacetime  stb  Inverse Derivation of the Lorentz Transformation  stb  Proper Time Adjusted Special Relativity with Gravitation  stb  Equation of Motion of a Particle in a Gravitation Field  stb  See also Forms of Spacetime Curvature  sim  History of the Visual Physics Project edit Gravitation: Extrinsic Relativity Forms of Spacetime Curvature  sim  Spacetime Curvature and Gravitation  sim   stb  Extrinsic Formulation of General Relativity  stb  See also Proper Time Adjusted Special Relativity with Gravitation  stb  Electrostatic Acceleration as the Result of Spacetime Curvature edit

Contents 1 Intro 2 Classical Equation of Motion of a Particle in Gravitation Field as a Function of Time 3 "Special Relativistic" Equation of Motion of a Particle in Gravitation Field as a Function of Time 4 See also

[edit] Intro

Hopefully, by comparing the classical and the "Special Relativistic" equation we will be able to derive the shape of spacetime curvature that produces gravitation.

[edit] Classical Equation of Motion of a Particle in Gravitation Field as a Function of Time

     

[edit] "Special Relativistic" Equation of Motion of a Particle in Gravitation Field as a Function of Time

(Based on the definition of acceleration in Special Relativity)      

[edit] See also

• Extrinsic Formulation of General Relativity
• Forms of Spacetime Curvature
• Spacetime Curvature and Gravitation