Gravity Probe B experiment and gravitomagnetism

Veto, B.

doi:10.1088/0143-0807/31/5/014

Cited by 8 publications

(7 citation statements)

References 7 publications

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“…It generates a rotational field B = × A whose cross product with L will cause a torque = d t L = -L × ( × A ) = -L × fr that will turn the onboard gyroscope away from an initial sighting to a distant star. This frame-dragging precession, also familiar from gravitomagnetism (Ciufolini & Wheeler 1995;Ruggiero & Tartaglia 2002;Veto 2010), accumulates in the equatorial plane of Earth at the rate (Lense & Thirring 1918;Schiff 1960;Straumann 1984) obtained in the same ways as a dipole field (Feynman, Leighton & Sands 1964). The functional form is also in concert with general relativity.…”

Section: Manifestations Of Local Densitymentioning

confidence: 93%

“…It generates a rotational field B ⊕ = ∇ × A ⊕ , whose cross product with L will cause a torque τ = d t L = −L × (∇ × A ⊕ ) = −L × fr that will turn the onboard gyroscope away from an initial sighting to a distant star. This frame-dragging precession, also familiar from gravitomagnetism (Ciufolini & Wheeler 1995;Ruggiero & Tartaglia 2002;Veto 2010), accumulates in the equatorial plane of Earth at the rate (Lense & Thirring 1918;Schiff 1960;Straumann 1984)…”

Section: A N I F E S Tat I O N S O F L O C a L D E N S I T Ymentioning

confidence: 99%

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Probing Mach’s principle

Annila

2012

Monthly Notices of the Royal Astronomical Society

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The principle of least action in its original form á la Maupertuis is used to explain geodetic and frame‐dragging precessions which are customarily accounted for a curved space–time in general relativity. The least‐time equations of motion agree with observations and are also in concert with general relativity. Yet according to the least‐time principle, gravitation does not relate to the mathematical metric of space–time, but to a tangible energy density embodied by photons. The density of free space is in balance with the total mass of the Universein accord with the Planck law. Likewise, a local photon density and its phase distribution are in balance with the mass and charge distribution of a local body. Here gravitational force is understood as an energy density difference that will diminish when the oppositely polarized pairs of photons co‐propagate from the energy‐dense system of bodies to the energy‐sparse system of the surrounding free space. Thus when the body changes its state of motion, the surrounding energy density must accommodate the change. The concurrent resistance in restructuring the surroundings, ultimately involving the entire Universe, is known as inertia. The all‐around propagating energy density couples everything with everything else in accord with Mach’s principle.

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Section: Manifestations Of Local Densitymentioning

confidence: 93%

Section: A N I F E S Tat I O N S O F L O C a L D E N S I T Ymentioning

confidence: 99%

Probing Mach’s principle

Annila

2012

Monthly Notices of the Royal Astronomical Society

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“…If we consider the transformation t → −t, the sign of must be changed, too, and for this reason Eqs. (11) and (13) contain only even powers of , and (12) only odd powers. Eq.…”

Section: Second-order Jefimenko Equationsmentioning

confidence: 99%

Post-Newtonian limit: second-order Jefimenko equations

2020

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The purpose of this paper is to get second-order gravitational equations, a correction made to Jefimenko’s linear gravitational equations. These linear equations were first proposed by Oliver Heaviside in [1], making an analogy between the laws of electromagnetism and gravitation. To achieve our goal, we will use perturbation methods on Einstein field equations. It should be emphasized that the resulting system of equations can also be derived from Logunov’s non-linear gravitational equations, but with different physical interpretation, for while in the former gravitation is considered as a deformation of space-time as we can see in [2–5], in the latter gravitation is considered as a physical tensor field in the Minkowski space-time (as in [6–8]). In Jefimenko’s theory of gravitation, exposed in [9, 10], there are two kinds of gravitational fields, the ordinary gravitational field, due to the presence of masses, at rest, or in motion and other field called Heaviside field due to and acts only on moving masses. The Heaviside field is known in general relativity as Lense-Thirring effect or gravitomagnetism (The Heaviside field is the gravitational analogous of the magnetic field in the electromagnetic theory, its existence was proved employing the Gravity Probe B launched by NASA (See, for example, [11, 12]). It is a type of gravitational induction), interpreted as a distortion of space-time due to the motion of mass distributions, (see, for example [13, 14]). Here, we will present our second-order Jefimenko equations for gravitation and its solutions.

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“…Other texts of interest are by Assis [15], Ciufolini and Wheeler [16], Peacock [17], and by Cheng [18]. Frame dragging, rotational and translational, and its relation to Mach's principle and general relativity has been discussed by Grøn [19,20], Grøn and Eriksen [21], Harris [22], Holstein [23], Hughes [24], Lynden-Bell et al [25], Martín et al [26], Nightingale [27,28], and by Vető [29,30]. Recent experimental support was found by Everitt et al [31].…”

Section: Mach's Principlementioning

confidence: 99%

Gravitational Lagrangians, Mach’s Principle, and the Equivalence Principle in an Expanding Universe

Essén

2014

Journal of Gravity

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The gravitational Lagrangian based on special relativity and the assumption of a fourth rank tensor interaction, derived by Kennedy (1972), is used to check Mach's principle in a homogeneous isotropic expanding universe. The Lagrangian is found to be consistent with Mach's principle when the density is the critical density and inertial mass is suitably renormalized. The Kennedy approach only gives the Lagrangian to first order in the gravitational coupling constant. By invoking the equivalence principle higher order corrections are found which renormalize the gravitational masses to the same values as the inertial masses. It is not the same as the correction derived from general relativity by Einstein-Infeld-Hoffmann, but otherwise the Lagrangians agree.

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Gravity Probe B experiment and gravitomagnetism

Cited by 8 publications

References 7 publications

Probing Mach’s principle

Probing Mach’s principle

Post-Newtonian limit: second-order Jefimenko equations

Gravitational Lagrangians, Mach’s Principle, and the Equivalence Principle in an Expanding Universe

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