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 TITLE: Some Features and Implications of exponential gravitation
 AUTHOR: Ben-Amots, N.
 SOURCE: J. Phys.: Conf. Ser., v. 330, 012017 (2011)
Link to FREE fulltext:

 ABSTRACT: The paper starts with a brief recapitulation of exponential gravitation concepts, and then continues by presenting the following items: a comparison of exponential gravitation with general relativity; gravitational radiation in exponential gravitation theory; supernova formation in the frame of exponential gravitation; a possible exponential gravitation explanation to the origin of jets of Active Galactic Nuclei, quasars and microquasars.

 CONCLUSIONS: The possibility of experimentally distinguishing between the predictions of general relativity and exponential gravitation theories may cause the implications of the exponential gravitation to be more significant for gravity research.

The above predictions of the exponential gravitation are solvable for two bodies, where the massive one is approximated as having constant rest mass M, and the rest mass
m(r) of the light body is variable and depends on the distance r between these two bodies.
Predictions based on the assumption of two bodies whose both equal rest masses m(r) are variable and depending on the distance r between these two bodies, are also obtained by the approach of exponential gravitation above, resulting in a solution without exponential character, though.
Predictions based on the assumption of two bodies whose both arbitrary rest masses m(r) and M(r) are variable and depends on the distance r between these two bodies, are qualitatively obtained by the approach of refs. [6, 21].

 52 references:
[1] Milne, E.A., "Kinematic Relativity," Clarendon Press, Oxford, UK,
pp. 203-210, 214-220 in (1951) edition.
( -- First edition was in 1948).
[6] Ben-Amots, N.
"Relativistic exponential gravitation and exponential potential of electric charge,"
Foundations of Physics, v. 37, No. 4-5 , pp. 773-787 ( May 2007) Abstract
[20] Arnowitt, R., Deser, S., Misner, C.W. (ADM), "The dynamics of general relativity,"
In: Witten, L., "Gravitation: An Introduction to Current Research", pp 227-265, Wiley, New York (1962).
See Section 7-7.1: "Physical basis of finiteness of self-energy when gravitation is included," pp 256-257.
Reprinted in: Gen. Rel. Grav., v. 40, pp. 1997-2027 (2008). See pp. 2020-2021
[21] Ben-Amots, N. "A new line element derived from the variable rest mass in gravitational field," arXiv/Gen-Ph/0808.2609 (2008) Abstract Full text
[24] Schiff, L.I., "Motion of a gyroscope according to Einstein's theory of gravitation," Proc. Nat. Acad. Sci., v. 46, pp. 871-82 (1960)

and more 47 references.

 KEYWORDS: Exponential gravitation, Variable rest mass


I highly recommend publication of the attached manuscript which presents astrophysical phenomena in terms of a theory in which mass is variable.
Also, in the introduction, the author found a simple example with an exact solution.
The example, consisting of the theoretical annihilation through gravitational interaction of a pair of particles with equal mass, can serve as a standard for this theory of gravitation and represents a significant advance.

1. Lectured 24.6.2008 in IARD2008 Conference.
2. The link for ref. [12] was replaced. Please use:

Kadin, A.M.
"Variable mass cosmology simulating cosmic acceleration,"
viXra (2012)

Cited by
Kadin, A.M.
"Non-Metric Microscopic Formulation of Relativity*,"
viXra (2016)

Cited by
Boonserm, P., Ngampitipan, T., Simpson, A., Visser, M.,
"The exponential metric represents a traversable wormhole"
(May 2018)
arXiv:1805.03781v3 [gr-qc] (May 2018)
"Exponential metric represents a traversable wormhole"
Phys. Rev. D, (October 2018)

Cited by
Simpson, Alex
"Traversable Wormholes, Regular Black Holes, and Black-Bounces"
M.Sc. thesis
Victoria University of Wellington, New Zealand
School of Mathematics and Statistics
and the same also in: (4.2021)

Cited by
Zeng, Wei, & Ling, Yi, & Jiang, Qing-Quan
"Astrophysical observables for regular black holes with sub-Planckian curvature"
arXiv [gr-qc], (21.7.2022)

Cited by
Partha Pratim Nath & Debojit Sarma
"Generalized form of exponential wormhole metric,"
arXiv:2301.09334v1 (23 January 2023)

Cited by
Tuhina Manna, & Farook Rahaman, & Tanmoy Chowdhury
Strong Lensing in the Exponential wormhole spacetimes
SSRN Electronic Journal (February 2023)
DOI: 10.2139/ssrn.4349260

Cited by
Tuhina Manna, & Farook Rahaman, & Tanmoy Chowdhury
Strong Lensing in the Exponential wormhole spacetimes
New Astronomy (March 2023)
DOI: 10.1016/j.newast.2023.102040

Cited by
Partha Pratim Nath and Debojit Sarma
Study of exponential wormhole metric in $f(R)$ gravity
Physica Scripta, V. 99, No. 4 (March 2024)
arXiv:2307.04237 (July 2023)

Cited by
S.H. Mazharimousavi
Vacuum traversable wormhole
arXiv:2309.02874 (September 2023)

Cited by
Mazharimousavi, S.H.
Axially symmetric exponential metric
Physics of the Dark Universe
v. 43, 101412 (February 2024)

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