Higher corrections in the theory of vacuum polarization by an isotropic gravitational field

I discuss relativistic extensions of MOND in which the metric couples normally to matter. I argue that MOND might be a residual effect from the vacuum polarization of infrared gravitons produced during primordial inflation. If so, MOND corrections to the gravitational field equations would be nonlocal. Nonlocality also results when one constructs metric field equations that reproduce the Tully–Fisher relation, along with sufficient weak lensing. I give the full field equations for the simplest class of models, and I specialize these equations to the geometries relevant for cosmology. I conclude by sketching the direction of future studies.

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VACUUM POLARIZATION NEAR BRANE WORLD COSMIC STRING

Modern Physics Letters A ◽

10.1142/s0217732302007296 ◽

2002 ◽

Vol 17 (18) ◽

pp. 1207-1214 ◽

Cited By ~ 5

Author(s):

YU. V. GRATS ◽

A. A. ROSSIKHIN

Keyword(s):

Gravitational Field ◽

Cosmic String ◽

Vacuum Polarization ◽

Cosmic Strings ◽

Brane World ◽

Spatial Dimensions

Gravitational field of cosmic strings in theories with extra spatial dimensions differs significantly from that in the 4D Einstein's theory. This means that all gravity induced properties of cosmic strings need to be revised. Here we consider the effect of vacuum polarization outside a straight infinitely thin cosmic string embedded in RS2 brane world.

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QED vacuum polarization in a background gravitational field and its effect on the velocity of photons

Physical Review D ◽

10.1103/physrevd.22.343 ◽

1980 ◽

Vol 22 (2) ◽

pp. 343-355 ◽

Cited By ~ 317

Author(s):

I. T. Drummond ◽

S. J. Hathrell

Keyword(s):

Gravitational Field ◽

Vacuum Polarization ◽

Qed Vacuum

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Vacuum polarization in the gravitational field of a cosmic string

Physical Review D ◽

10.1103/physrevd.35.3779 ◽

1987 ◽

Vol 35 (12) ◽

pp. 3779-3782 ◽

Cited By ~ 127

Author(s):

V. P. Frolov ◽

E. M. Serebriany

Keyword(s):

Gravitational Field ◽

Cosmic String ◽

Vacuum Polarization

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Gravitational Field and Mass

10.20944/preprints202109.0302.v2 ◽

2021 ◽

Author(s):

Yin Zhu

Keyword(s):

Gravitational Field ◽

Neutron Star ◽

Vacuum Polarization ◽

Mass Density ◽

Quantum Vacuum ◽

Vacuum Fluctuation ◽

Relativistic Mass ◽

Field Electron ◽

Modern Physics ◽

Photon Collision

It is extremely fascinating and astonishing that the gravitational field on the surface of a neutron star is with a relativistic mass density of 2.65*1016~5.87*1018kgm-3 which can be larger than the mass density of the neutron star (~1017kgm-3).Therefore, it is the author’s first intuitional imagining that this field could directly convert into mass. In so strong a gravitational field, electron and proton could be produced directly from graviton–photon collision. The gravitational field exists in everywhere in our universe. No vacuum that the region of a space is “empty” does exist. A particle is clearly always being acted on by the gravitational field. The quantum vacuum fluctuation and vacuum polarization need be re-understood with the interaction between photon and gravitational field. Therefore, the gravitational field is naturally one of the foundations of modern physics.

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A one-dimensional self-gravitating stellar gas

Symposium - International Astronomical Union ◽

10.1017/s0074180900105261 ◽

1966 ◽

Vol 25 ◽

pp. 46-48 ◽

Cited By ~ 2

Author(s):

M. Lecar

Keyword(s):

Gravitational Field ◽

Phase Space ◽

Motion Picture ◽

Space Distribution ◽

Two Dimensional ◽

One Dimensional ◽

Phase Space Distribution ◽

Dimensional Phase Space ◽

The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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