Connection between Lense–Thirring precession, Ernst potential and Thorne multipoles

2014 ◽  
Vol 31 (21) ◽  
pp. 215006
Author(s):  
Marcelo Zimbres
Keyword(s):  
Ernst Potential

O(d, d)-Symmetry and Ernst Formulation of Einstein–Kalb–Ramond Theory

1997 ◽  
Vol 12 (21) ◽  
pp. 1573-1582 ◽  
Author(s):  
Alfredo Herrera-Aguilar ◽  
Oleg Kechkin
Keyword(s):  
Matrix Representation ◽  
Two Dimensions ◽  
Target Space ◽  
Subsequent Reduction ◽  
R Matrix ◽  
The Real ◽  
Ernst Potential

A Ernst-like matrix representation of (3+d)-dimensional Einstein–Kalb–Ramond theory is developed. The analogy with the Einstein and Einstein–Maxwell–Dilaton–Axion theories is discussed. The subsequent reduction to two dimensions is considered. It is shown that, in this case, the theory allows two different Ernst-like d×d-matrix formulations: the real nondualized target space, and the Hermitian dualized nontarget space one. The O(d, d)-symmetry is written in an SL (2,R) matrix-valued form in both cases. The Kramer–Neugebauer transformation, which algebraically maps the nondualized Ernst potential onto the dualized one, is presented.

scholarly journals IWP SOLUTIONS FOR HETEROTIC STRING IN FIVE DIMENSIONS

1998 ◽  
Vol 13 (24) ◽  
pp. 1979-1986 ◽  
Author(s):  
ALFREDO HERRERA-AGUILAR ◽  
OLEG KECHKIN
Keyword(s):  
Stationary Solutions ◽  
Heterotic String ◽  
Three Dimensions ◽  
Gauge Fields ◽  
Energy Limit ◽  
Heterotic String Theory ◽  
Five Dimensions ◽  
Ernst Potential ◽  
The Matrix ◽  
Extremality Condition

We obtain extremal stationary solutions that generalize the Israel–Wilson–Perjés class for the low-energy limit of heterotic string theory with n≥ 3U(1) gauge fields toroidally compactified from five to three dimensions. A dyonic solution is obtained using the matrix Ernst potential (MEP) formulation and expressed in terms of a single real (3×3)-matrix harmonic function. By studying the asymptotic behavior of the field configurations, we define the physical charges of the field system. The extremality condition makes the charges saturate the Bogomol'nyi–Prasad–Sommmerfield (BPS) bound.

scholarly journals Ernst Potential of Near-Horizon Extremal Kerr Black Holes

2019 ◽  
Vol 1245 ◽  
pp. 012076
Author(s):  
M F A R Sakti ◽  
A Irawan ◽  
A Suroso ◽  
F P Zen
Keyword(s):  
Black Holes ◽  
Ernst Potential ◽  
Kerr Black Holes

scholarly journals Spherical and Toroidal Local Black Holes

1983 ◽  
Vol 104 ◽  
pp. 425-430
Author(s):  
Basilis C. Xanthopoulos
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Legendre Polynomials ◽  
Killing Field ◽  
Vacuum Region ◽  
Ernst Potential ◽  
Metric Tensors

The local black holes describe physical situations involving a black hole surrounded by a finite vacuum region and then by matter and fields. The stationary and axisymmetric local black holes belong into two classes, the spherical and the toroidal ones, depending on the topology of their horizon. For the static black holes their metric tensors are given explicitly in terms of Legendre polynomials. For the stationary local black holes the problem is formulated interms of the Ernst potential of the rotational Killing field and the appropriate asymptotic conditions on the horizon are determined.

A new class of bipolar vacuum gravitational fields

1982 ◽  
Vol 382 (1782) ◽  
pp. 221-229 ◽  
Keyword(s):  
Einstein Equations ◽  
Axisymmetric Solution ◽  
Rank Zero ◽  
Weyl Solution ◽  
Gravitational Fields ◽  
Ernst Potential ◽  
New Class ◽  
Asymptotic Flatness ◽  
Vacuum Einstein Equations ◽  
Math Phys

We present the Ernst potential and the full four-dimensional metric for a stationary axisymmetric solution of the vacuum Einstein equations, which we obtain by application of two rank-zero H. K. X. transformations (Hoenselaers, Kinnersley & Xanthopolous J. math. Phys . 20, 2530 (1979)) to the general static Weyl solution. A suitable Ehlers transformation ensures asymptotic flatness.

DOUBLE STRUCTURES AND DOUBLE SYMMETRIES FOR THE EINSTEIN–KALB–RAMOND THEORY

2006 ◽  
Vol 21 (02) ◽  
pp. 361-372 ◽  
Author(s):  
YA-JUN GAO
Keyword(s):  
Function Method ◽  
Equations Of Motion ◽  
Complex Function ◽  
Complex Method ◽  
Complex Matrix ◽  
Fractional Linear Transformation ◽  
Double Complex ◽  
Ernst Potential ◽  
Double Symmetry ◽  
Double Symmetries

We further study the two-dimensional reduced Einstein–Kalb–Ramond (EKR) theory in the axisymmetric case by using the so-called double-complex function method. We find a doubleness symmetry of this theory and exploit it so that some double-complex d×d matrix Ernst-like potential can be constructed, and the associated equations of motion can be extended into a double-complex matrix Ernst-like form. Then we give a double symmetry group [Formula: see text] for the EKR theory and verify that its action can be realized concisely by a double-complex matrix, form generalization of the fractional linear transformation on the Ernst potential. These results demonstrate that the theory under consideration possesses more and richer symmetry structures. Moreover, as an application, we obtain an infinite chain of double-solutions of the EKR theory showing that the double-complex method is more effective. Some of the results in this paper cannot be obtained by the usual (nondouble) scheme.

scholarly journals Toward Interactions through Information in a Multifractal Paradigm

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 987
Author(s):  
Maricel Agop ◽  
Alina Gavriluț ◽  
Claudia Grigoraș-Ichim ◽  
Ștefan Toma ◽  
Tudor-Cristian Petrescu ◽  
...  
Keyword(s):  
General Relativity ◽  
Initial Conditions ◽  
Harmonic Mappings ◽  
Poincaré Metric ◽  
Minimization Principle ◽  
Ernst Potential ◽  
Lobachevsky Plane ◽  
Local Manifestation ◽  
Newtonian Type ◽  
Multifractal Dynamics

In a multifractal paradigm of motion, Shannon’s information functionality of a minimization principle induces multifractal–type Newtonian behaviors. The analysis of these behaviors through motion geodesics shows the fact that the center of the Newtonian-type multifractal force is different from the center of the multifractal trajectory. The measure of this difference is given by the eccentricity, which depends on the initial conditions. In such a context, the eccentricities’ geometry becomes, through the Cayley–Klein metric principle, the Lobachevsky plane geometry. Then, harmonic mappings between the usual space and the Lobachevsky plane in a Poincaré metric can become operational, a situation in which the Ernst potential of general relativity acquires a classical nature. Moreover, the Newtonian-type multifractal dynamics, perceived and described in a multifractal paradigm of motion, becomes a local manifestation of the gravitational field of general relativity.

The Lanczos potential for vacuum space–times with an Ernst potential

1998 ◽  
Vol 39 (10) ◽  
pp. 5406-5420 ◽  
Author(s):  
P. Dolan ◽  
B. D. Muratori
Keyword(s):  
Ernst Potential ◽  
Lanczos Potential ◽  
Vacuum Space
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