Relativity and Cosmology


Hydrodynamic Analogue for Curved Space-Time and General Relativity

Authors: John R. Cipolla, Usha Raut

An attempt is made to simulate the curved space-time of General Relativity by comparison with the characteristics of a potential vortex at steady state sometimes called a free vortex. In this paper, we present results of our study of the potential vortex as an analogy with gravity and General Relativity. Analyses of potential vortex characteristics demonstrate that an analogy exists between potential vortex flow, General Relativity and the gravitational fields around massive objects. An analogue model of gravity is developed which simulates the potential vortex model of space-time observed by Gravity Probe-B experiments. Statements by Gravity Probe-B researchers that the region around Earth resembles a “space-time vortex” lend credibility to the premise of this paper that potential vortex flow and gravity are related. Albert Einstein introduced the first analogue model for General Relativity that describes space-time as a membrane upon which objects move along geodesics. Analogue models provide a unique and viable means of analyzing complex space-time in situations that would normally be beyond our means to explore using conventional methods. Further, by exploring the dynamics of the analogue model, we are able to recover the equivalent form of the Einstein field equation starting from the usual equations of hydrodynamics and vector dynamics and make predictions about space-time and gravity using these observations. An implication for the existence of an analogy between space-time and the potential vortex is the possibility that space-time can be considered a superfluid forming the surface of our universe.

Comments: 25 Pages.

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Submission history

[v1] 2014-03-17 08:06:44
[v2] 2014-03-22 14:38:27
[v3] 2015-02-23 15:03:10
[v4] 2015-02-24 05:57:49

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