A cloud of relativistic material particles is considered, the gravitational interaction between which can be neglected. The gravitational mass of the cloud is determined for the region where it can be considered as a point body. The dependence of this mass on complete elliptic integral of the 2nd kind on the ratio of the particle velocity to the speed of light is established.

Topics
Fundamental constants, Integral calculus, Gravitational interactions
1.
A.
Einstein
:
Ann. der Physik
Vol.
49
(
1916
) p.
769
https://doi.org/10.1002/andp.19163540702
Google Scholar
Crossref
Search ADS
 
2.
H.G.
Ellis
:
IJMPD
Vol.
21
No.
11
(
2012
)
1242022
https://doi.org/10.1142/S0218271812420229
Google Scholar
Crossref
Search ADS
 
3.
H.G.
Ellis
:
IJMPD
Vol.
24
No.
08
(
2015
)
1550069
https://doi.org/10.1142/S0218271815500698
Google Scholar
Crossref
Search ADS
 
4.
G.C.
McVittie
:
General Relativity and Cosmology
(
Chapman and Hall Ltd.
,
London
,
1956
).
Google Scholar
 
5.
L.D.
Landau
 and
E.M.
Lifshitz
:
The Classical Theory of Fields
(
Butterworth-Heinemann
,
Oxford
,
2000
).
Google Scholar
 
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