Is active gravitational mass equal to inertial mass?

1978 ◽  
Vol 17 (7) ◽  
pp. 549-555 ◽  
Author(s):  
M. Enosh ◽  
A. Kovetz
2015 ◽  
Vol 24 (08) ◽  
pp. 1550069 ◽  
Author(s):  
Homer G. Ellis

Giving up Einstein's assumption, implicit in his 1916 field equations, that inertial mass, even in its appearance as energy, is equivalent to active gravitational mass and therefore is a source of gravity allows revising the field equations to a form in which a positive cosmological constant is seen to (mis)represent a uniform negative net mass density of gravitationally attractive and gravitationally repulsive matter. Field equations with both positive and negative active gravitational mass densities of both primordial and continuously created matter, incorporated along with two scalar fields to 'relax the constraints' on the spacetime geometry, yield cosmological solutions that exhibit inflation, deceleration, coasting, acceleration, and a 'big bounce' instead of a 'big bang,' and provide good fits to a Hubble diagram of Type Ia supernovae data. The repulsive matter is identified as the back sides of the 'drainholes' introduced by the author in 1973 as solutions of those same field equations. Drainholes (prototypical examples of 'traversable wormholes') are topological tunnels in space which gravitationally attract on their front, entrance sides, and repel more strongly on their back, exit sides. The front sides serve both as the gravitating cores of the visible, baryonic particles of primordial matter and as the continuously created, invisible particles of the 'dark matter' needed to hold together the large-scale structures seen in the universe; the back sides serve as the misnamed 'dark energy' driving the current acceleration of the expansion of the universe. Formation of cosmic voids, walls, filaments and nodes is attributed to expulsion of drainhole entrances from regions populated by drainhole exits and accumulation of the entrances on boundaries separating those regions.


2008 ◽  
Vol 23 (35) ◽  
pp. 2979-2986
Author(s):  
MERAB GOGBERASHVILI

The warped solution of Einstein's equations corresponding to the spherical brane in five-dimensional AdS is considered. This metric represents interiors of black holes on both sides of the brane and can provide gravitational trapping of physical fields on the shell. It is found that the analytic form of the coordinate transformations from the Schwarzschild to co-moving frame that exists only in five dimensions. It is shown that in the static coordinates active gravitational mass of the spherical brane, in agreement with Tolman's formula, is negative, i.e. such objects are gravitationally repulsive.


1995 ◽  
Vol 10 (36) ◽  
pp. 2801-2808 ◽  
Author(s):  
Y. JACK NG ◽  
HENDRIK VAN DAM

We show that, due to quantum fluctuations of the spacetime metric, any source of observable static gravitational fields is a classical object. We also show that, at the classical level, the gravitational mass of any system of finite volume is equal to its inertial mass in general only after time averaging.


Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan

This chapter embarks on the study of Newton’s law of gravitation. It first discusses gravitational mass and inertial mass, a measure of the ‘resistance’ of the point particle to an applied force. The numerical value of the inertial mass of a body can in principle be obtained from collision experiments by assigning to a reference body a unit inertial mass of one kilogram or, more rigorously, one ‘inertial kilogram’. Next, the chapter considers the ratio of gravitational and inertial masses. It considers that, in the absence of friction, all objects, no matter what their inertial mass, or the nature of their constituents, or the internal energy or cohesive forces of their constituents, fall in the same way in an external gravitational field. Finally, this chapter studies Newton’s gravitational force and field, as well as the Poisson equation and the gravitational Lagrangian.


Author(s):  
Amrit Sorli ◽  
Manuel Malaver ◽  
Santanu Kumar Patro

In this paper, we present the Superfluid Vacuum model in order to explain mass-energy equivalence, inertia and gravity. We found that this model confirms that inertial mass and gravitational mass are equal and have this origin in the vacuum fluctuations caused by the variable density of vacuum.


2020 ◽  
Vol 8 (3) ◽  
pp. 8-17
Author(s):  
V. Babanov ◽  
V. Homyakov

The article discusses the possibility of using the results of some Sciences (in this case, the Law of universal gravitation) in the study of other Sciences. The Law of universal gravitation, which is one of the most important laws of nature, is described. The interaction of economic entities from the standpoint of the Law of universal gravitation is considered. The features of interaction between sellers and buyers are studied. It established that the fundamental reason for the attraction of economic entities is the need to meet their needs. The process of meeting the needs of an economic entity is described. The following concepts are introduced: inertial mass (mass of stability) of an economic subject, gravitational mass (mass of attraction) of an economic subject. The features of these indicators are studied. The analysis of changes in the forces of attraction between economic entities in the process of their interaction are carried out. The law of attraction of two economic entities is formulated.


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