We extend the magnetic connection theorem of ideal magnetohydrodynamics to nonideal relativistic pair plasmas. Adopting a generalized Ohm's law, we prove the existence of generalized magnetofluid connections that are preserved by the plasma dynamics. We show that these connections are related to a general antisymmetric tensor that unifies the electromagnetic and fluid fields. The generalized magnetofluid connections set important constraints on the plasma dynamics by forbidding transitions between configurations with different magnetofluid connectivity. An approximated solution is explicitly shown where the corrections due to current inertial effects are found.

2.
F.
Pegoraro
,
Europhys. Lett.
99
,
35001
(
2012
).
3.
F. A.
Asenjo
and
L.
Comisso
,
Phys. Rev. Lett.
114
,
115003
(
2015
).
4.
F.
Pegoraro
,
Phys. Plasmas
22
,
112106
(
2015
).
5.
S. M.
Mahajan
,
Phys. Rev. Lett.
90
,
035001
(
2003
).
6.
J. D.
Bekenstein
,
Astrophys. J.
319
,
207
(
1987
).
7.
B. A.
Bambah
,
S. M.
Mahajan
, and
C.
Mukku
,
Phys. Rev. Lett.
97
,
072301
(
2006
).
8.
S. M.
Mahajan
and
F. A.
Asenjo
,
Phys. Rev. Lett.
107
,
195003
(
2011
).
9.
S. M.
Mahajan
and
Z.
Yoshida
,
Phys. Rev. Lett.
105
,
095005
(
2010
).
10.
S. M.
Mahajan
and
Z.
Yoshida
,
Phys. Plasmas
18
,
055701
(
2011
).
11.
F. A.
Asenjo
,
S. M.
Mahajan
, and
A.
Qadir
,
Phys. Plasmas
20
,
022901
(
2013
).
12.
J.-H.
Gao
,
B.
Qi
, and
S.-Y.
Wang
,
Phys. Rev. D
90
,
083001
(
2014
).
13.
C.
Bhattacharjee
,
R.
Das
, and
S. M.
Mahajan
,
Phys. Rev. D
91
,
064055
(
2015
).
14.
Z.
Yoshida
,
Y.
Kawazura
, and
T.
Yokoyama
,
J. Math. Phys.
55
,
043101
(
2014
).
15.
Y.
Kawazura
,
Z.
Yoshida
, and
Y.
Fukumoto
,
J. Phys. A: Math. Theor.
47
,
465501
(
2014
).
16.
G. W.
Gibbons
,
S. W.
Hawking
, and
S.
Siklos
,
The Very Early Universe
(
Cambridge University Press
,
Cambridge
,
1983
).
17.
S.
Weinberg
,
Cosmology
(
Oxford University Press
,
New York
,
2008
).
18.
M. C.
Begelman
,
R. D.
Blandford
, and
M. J.
Rees
,
Rev. Mod. Phys.
56
,
255
(
1984
).
19.
F. C.
Michel
,
Theory of Neutron Star Magnetosphere
(
Chicago University Press
,
Chicago
,
1991
).
20.
21.
F. A.
Asenjo
,
V.
Muñoz
,
J. A.
Valdivia
, and
T.
Hada
,
Phys. Plasmas
16
,
122108
(
2009
).
22.
R. A.
López
,
F. A.
Asenjo
,
V.
Muñoz
, and
J. A.
Valdivia
,
Phys. Plasmas
19
,
082104
(
2012
).
23.
R. A.
López
,
F. A.
Asenjo
,
V.
Muñoz
,
A. C.-L.
Chian
, and
J. A.
Valdivia
,
Phys. Rev. E
88
,
023105
(
2013
).
24.
L.
Comisso
and
F. A.
Asenjo
,
Phys. Rev. Lett.
113
,
045001
(
2014
).
25.
26.
D.
Kagan
,
L.
Sironi
,
B.
Cerutti
, and
D.
Giannios
,
Space Sci. Rev.
186
,
1
(
2015
).
27.
Y.-H.
Liu
,
F.
Guo
,
W.
Daughton
,
H.
Li
, and
M.
Hesse
,
Phys. Rev. Lett.
114
,
095002
(
2015
).
28.
G.
Sarri
 et al,
Nat. Commun.
6
,
6747
(
2015
).
29.
R. A.
López
,
R. E.
Navarro
,
P. S.
Moya
,
A. F.
Viñas
,
J. A.
Araneda
,
V.
Muñoz
, and
J. A.
Valdivia
,
Astrophys. J.
810
,
103
(
2015
).
30.
S.
Chandrasekhar
,
An Introduction to the Study of Stellar Structure
(
Dover
,
New York
,
1938
).
31.
J. L.
Synge
,
The Relativistic Gas
(
North-Holland
,
Amsterdam
,
1957
).
33.
You do not currently have access to this content.