On the Fluid Dynamics Nature of General Relativity and Estakhr's Fluid Field Geodesic Equation
POSTER
Abstract
EFFG (Estakhr's Fluid Field Geodesic) Equation is developed analogy of Einstein's Field Equation and EMG (Estakhr Material-Geodesic) Equation (Which is developed analogy of Navier-Stokes Equations and Einstein Geodesic Equation ref:1) by EMG equation $\frac{DJ^{\mu}}{D\tau}=J_{\nu}\Omega^{\mu\nu}+\partial_{\nu}T^{\mu\nu}+\Gamma^{\mu}_{\alpha\beta}J^{\alpha}U^{\beta}$ we can find EFFG equation $\frac{DJ^{\mu}}{D\tau}=J_{\nu}\Omega^{\mu\nu}+\frac{c^4}{8\pi G}\partial_{\nu}(R^{\mu\nu}-\frac{1}{2}g^{\mu\nu}R+g^{\mu\nu}\Lambda)+\Gamma^{\mu}_{\alpha\beta}J^{\alpha}U^{\beta}=0$ Where $R^{\mu\nu}$ is Ricci Curvature tensor, $R$ the scalar Curvature, $g^{\mu\nu}$ the metric tensor, $\Lambda$ is cosmological constant, $G$ is gravitational constant, $c$ the speed of light in vacuum, $T^{\mu\nu}$ the Stress-Energy tensor, $J^{\mu}$ is four-current mass density, $J_{\nu}\Omega^{\mu\nu}$ is Material derivative, $U^{\mu}$ four-velocity field and $\Gamma^{\mu}_{\alpha\beta}$ is Christoffel symbol. ref 1: http://meeting.aps.org/Meeting/DFD13/Session/R8.4
Authors
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Ahmad Reza Estakhr
Researcher