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Forms of Spacetime Curvature and Gravitation: Extrinsic Relativity: Difference between pages

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==== Introduction ====
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Our main aim here is an extrinsic formulation of General Relativity. The intrinsic formulation of the theory on the basis of Tensor Calculus has been exhaustively developed, so here we will look at its extrinsic formulation. We want to see if it will agree with what we will have come up with in the Proper Time Adjusted Special Relativity with gravitation. This will allow us to describe much more clearly the way that spacetime curvature produces the acceleration of gravity.  
<td align="center" style="padding: 5px 5px 5px 5px">Click [http://www.visual-physics.com/vpwiki/Simulations/SpacetimeCurvature/SpacetimeCurvature3D.xml here] to download<br />the [http://fem.um.es/Ejs Ejs] xml source file for the applet.</td>
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==Introduction==
An examination of the forms that spacetime curvature can take will prove useful for the description of the way that acceleration is produced by gravitational spacetime curvature, and later, in our effort to use a similar mechanism to describe the way that acceleration is produced by the electrostatic field.


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==== [[Forms of Spacetime Curvature]] ====
<span style="color:green; border: 1px solid green; font-size:8pt" title="Article with Simulation">&nbsp;sim&nbsp;</span>&nbsp;&nbsp;
A sketchy presentation of the possible forms that spacetime curvature can take: ''spaceline'' curvature and ''timeline'' curvature, and the relationship between them.


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== Simulation ==
==== [[Spacetime Curvature and Gravitation]] ====
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We will examine the production of the acceleration of gravity by spacetime curvature, using the extrinsic description of curvature.


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==Remarks==
==== [[Extrinsic Formulation of General Relativity]] ====
This is just a sketchy exploration of spacetime curvature, aiming only to show its different possible forms and to give an idea of the relationship between them. No effort has been made to determine the equations that describe it. This will be done in [[Spacetime Curvature and Gravitation]] and in [[Electrostatic Acceleration as the Result of Spacetime Curvature]].
<span style="color:tomato; border: 1px solid tomato; font-size:8pt" title="Article that needs development (Stub)">&nbsp;stb&nbsp;</span>&nbsp;&nbsp;
Formulation of the Theory of General Relativity on the basis of an extrinsic description of spacetime curvature.


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==See also==
==== See also ====
*[[Proper Time Adjusted Special Relativity with Gravitation]]
*[[Proper Time Adjusted Special Relativity with Gravitation]]
*[[Spacetime Curvature and Gravitation]]
*[[Electrostatic Forces as a Result of Spacetime Curvature]]
*[[Extrinsic Formulation of General Relativity]]
*[[Electrostatic Acceleration as the Result of Spacetime Curvature]]


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[[Category:Proper Time Adjusted Special Relativity]]
 
[[Category:Gravitation]]
[[Category:Gravitation]]
[[Category:Electrostatic Forces and EM Waves]]
[[Category:Simulations]]

Revision as of 04:15, 31 December 2006

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Gravitation: Extrinsic Relativity
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Introduction

Our main aim here is an extrinsic formulation of General Relativity. The intrinsic formulation of the theory on the basis of Tensor Calculus has been exhaustively developed, so here we will look at its extrinsic formulation. We want to see if it will agree with what we will have come up with in the Proper Time Adjusted Special Relativity with gravitation. This will allow us to describe much more clearly the way that spacetime curvature produces the acceleration of gravity.



Forms of Spacetime Curvature

 sim    A sketchy presentation of the possible forms that spacetime curvature can take: spaceline curvature and timeline curvature, and the relationship between them.



Spacetime Curvature and Gravitation

 stb    We will examine the production of the acceleration of gravity by spacetime curvature, using the extrinsic description of curvature.



Extrinsic Formulation of General Relativity

 stb    Formulation of the Theory of General Relativity on the basis of an extrinsic description of spacetime curvature.



See also


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