2009
DOI: 10.1103/physrevd.79.124016
|View full text |Cite
|
Sign up to set email alerts
|

Class of Einstein-Maxwell-dilaton-axion space-times

Abstract: We use the harmonic maps ansatz to find exact solutions of the Einstein-Maxwell-Dilaton-Axion (EMDA) equations. The solutions are harmonic maps invariant to the symplectic real group in four dimensions Sp(4, ) ∼ O(5). We find solutions of the EMDA field equations for the one and two dimensional subspaces of the symplectic group. Specially, for illustration of the method, we find space-times that generalise the Schwarzschild solution with dilaton, axion and electromagnetic fields.

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
8
0

Year Published

2009
2009
2021
2021

Publication Types

Select...
6
2

Relationship

0
8

Authors

Journals

citations
Cited by 10 publications
(8 citation statements)
references
References 12 publications
0
8
0
Order By: Relevance
“…We will examine shortly and in detail the solutions emanating for the 4-dimensional case. Lastly, by defining B(p) = A(p)dp (19) and combining (18) and (17) we get…”
Section: A Case Of Cylindrical Symmetrymentioning
confidence: 99%
See 1 more Smart Citation
“…We will examine shortly and in detail the solutions emanating for the 4-dimensional case. Lastly, by defining B(p) = A(p)dp (19) and combining (18) and (17) we get…”
Section: A Case Of Cylindrical Symmetrymentioning
confidence: 99%
“…In this paper we will study in some detail the simplest non-trivial theories including a scalar and Maxwell field with a Liouville potential. Although this theory does not capture all the details of string effective actions (where additional fields are present, like the axion, see [19], potentials are more complicated, etc.,) it contains the essential ingredients that will result in some of the phenomena we described above. Given the complicated theory at hand we will restrict ourselves to cylindrical symmetry or constant curvature horizons (in other words, d − 2 homogeneous subspaces of constant curvature).…”
Section: Introductionmentioning
confidence: 99%
“…into the lagragian and make a rescale, we can obtain the same equation of motion. One may seek more information about the equivalence of these two theory in [39,40].…”
Section: A Rotating Linear Dilaton Black Hole In Emda Theorymentioning
confidence: 99%
“…e.g., [27][28][29][30][31][32][33][34]). There exists now the tendency for the unification of the Maxwell-dilaton theory and axion electrodynamics [35][36][37]), and for formulation of the nonlinear version of this unified theory [38,39]. In other words, the relativistic astrophysics and cosmology, which operate with the axionic dark matter [40][41][42] engage the theoreticians for construction of the nonlinear axion-dilaton electrodynamics.…”
Section: Introductionmentioning
confidence: 99%