By: Luis Guillermo RESTREPO RIVAS

The existence of a vector field is shown. This field is originated by all moving inertial masses, and it exerts a force on all other nearby moving masses. This field has a relation with the The existence of the Based on a varying gravnetic field, generated by a mass flow of variable velocity, one can produce gravitational-gravnetic waves.
For any observer for which there is a mass flow, also does exist a vectorial field The vectorial field The intensity of this field
Let it be the scene, depicted in the following figure, composed of the following elements: - An observer
**A**, at rest relatively to an inertial reference frame - A mass flow which has speed
**U**relative to the**A**observer - An observer
**B**, moving relative to**A**with speed**U**in the same direction as the flow measured by**A** - An object
**W**, at a distance**r**from the flow axis, with mass**m**' and speed**U**' in direction parallel to**U**, both as measured by**A**
Let As far as the speed of light imposes a limit, we can make three variable substitutions, measuring all three velocities as fractions of that of light: According to these definitions of the new Alfa, Beta and Gamma variables, it holds that: Applying these relations to the [1] equation, we get: And, as: Therefore, we can make the following successive transformations: And also, as: then we get: Now, let us consider a differential mass element from the flow. This element has a length But, being and then: Also, by the Lorentz length-contraction, the length Therefore, the linear density measured by Now, as the linear density measured by Then, the relation between the linear densities measured by Turn we our attention now to the gravitational field created by the mass which Let suppose that the length of this (flowing) mass in the direction of where The as According to this, the force which is the same as: Now, from the inertial reference-frame of and substituting according to [3] it becomes: and, as relative to but, as the mass then: which, according to [4] can be transformed into: and, by [2], it is the same as: Also, according to the mathematical relation: so, we have the following relation between the forces on On the other hand, from the expression [6] we also get the relation: Now, according to the Special Relativity: If which give: and, by substituting the denominator according to [2] we get: For the wich implies that: By comparing [8] with [6] we see that A observer perceives other force, not perceived by B and opposed to the gravitational one T_{A}, and then the total force perceived by A may be expressed as:which, according to [8] can be transformed into: and by using [7] we get: We can replace the force which according to [5] is the same as: If we now define the flow intensity as mass per unit time: Then, the linear density as measured by and then: which, returning to variables of speed, becomes: And, if we define the " then the " Link: The VIRGO Project to detect gravitogravnetic wavesCopyright © 1988-2008 Luis Guillermo RESTREPO RIVAS, All Rights Reserved |