Spherically symmetric static solution for colliding null dust

AbstractThere was obtained a numerical external solution for the exact system of the RTG equations using natural boundary conditions in the static spherically symmetric case. The properties of the solution are discussed.

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EXACT SOLUTIONS OF NONLINEAR SU(N) PRINCIPAL σ-MODELS

International Journal of Modern Physics A ◽

10.1142/s0217751x88000497 ◽

1988 ◽

Vol 03 (05) ◽

pp. 1147-1154

Author(s):

TIBOR KISS-TOTH

Keyword(s):

Exact Solutions ◽

Inverse Scattering ◽

Soliton Solutions ◽

Static Solution ◽

Finite Energy ◽

Single Step ◽

Inverse Scattering Method ◽

Scattering Method ◽

Axially Symmetric ◽

Symmetric Static Solution

The superpotential for n-step soliton solution is derived in the case of an arbitrary dimensional projector for axially symmetric, static solution of nonlinear principal SU (N) σ-models. This was done by using an inverse scattering method developed by Belinski and Zakharov. Finite energy solutions are constructed for all SU (N) one soliton solutions generated by a single step.

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Charged throats in the Hořava–Lifshitz theory

The European Physical Journal C ◽

10.1140/epjc/s10052-021-09251-0 ◽

2021 ◽

Vol 81 (5) ◽

Author(s):

Alvaro Restuccia ◽

Francisco Tello-Ortiz

Keyword(s):

Coupling Parameter ◽

Static Solution ◽

Space Time ◽

Coupling Constants ◽

Spherically Symmetric ◽

Dimensional Manifold ◽

Field Equations ◽

Flat Side ◽

Minkowski Space Time ◽

Spherically Symmetric Solution

AbstractA spherically symmetric solution of the field equations of the Hořava–Lifshitz gravity–gauge vector interaction theory is obtained and analyzed. It describes a charged throat. The solution exists provided a restriction on the relation between the mass and charge is satisfied. The restriction reduces to the Reissner–Nordström one in the limit in which the coupling constants tend to the relativistic values of General Relativity. We introduce the correct charts to describe the solution across the entire manifold, including the throat connecting an asymptotic Minkowski space-time with a singular 3+1 dimensional manifold. The solution external to the throat on the asymptotically flat side tends to the Reissner–Nordström space-time at the limit when the coupling parameter, associated with the term in the low energy Hamiltonian that manifestly breaks the relativistic symmetry, tends to zero. Also, when the electric charge is taken to be zero the solution becomes the spherically symmetric and static solution of the Hořava–Lifshitz gravity.

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STATIONARY VACUUM HYPER-CYLINDRICAL SOLUTION IN 4+1 DIMENSIONS

Modern Physics Letters A ◽

10.1142/s0217732307024449 ◽

2007 ◽

Vol 22 (32) ◽

pp. 2439-2452 ◽

Cited By ~ 3

Author(s):

JUNGJAI LEE ◽

HYEONG-CHAN KIM

Keyword(s):

Physical Properties ◽

Static Solution ◽

Three Dimensions ◽

Spherically Symmetric ◽

Stationary Vacuum

We find a (4+1)-dimensional stationary vacuum hyper-cylindrical solution which is spherically symmetric in three dimensions and invariant under the translation along the fifth coordinate. The solution is characterized by three parameters, mass, tension, and conserved momentum along the fifth coordinate. The metric is locally equivalent to the known static solution. We briefly discuss its physical properties.

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ANALYSIS OF THE STATIC AND SPHERICALLY-SYMMETRIC SOLUTION IN NDL THEORY OF GRAVITATION

International Journal of Modern Physics D ◽

10.1142/s0218271804004608 ◽

2004 ◽

Vol 13 (03) ◽

pp. 527-537

Author(s):

M. NOVELLO ◽

S. E. PEREZ BERGLIAFFA ◽

K. E. HIBBERD

Keyword(s):

Equivalence Principle ◽

Strong Field ◽

Static Solution ◽

Field Theories ◽

Spherically Symmetric ◽

Field Limit ◽

Weak Equivalence Principle ◽

Spherically Symmetric Solution ◽

Theory Of Gravitation ◽

Theories Of Gravitation

We investigate the static solution with spherical symmetry of a member of a recently proposed class of field theories of gravitation. In this so-called NDL theory, matter interacts with gravity in accordance with the Weak Equivalence Principle, while gravitons have a nonlinear self-interaction. It is shown that the predictions obtained from this solution agree with those of General Relativity in the three classic tests. There are potential differences in the strong-field limit, which we illustrate by proving that this theory does not allow the existence of static and spherically symmetric black holes.

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