A spherically-symmetric static solution to a new scalar-tensor gravitational theory

1971 ◽  
Vol 2 (23) ◽  
pp. 1190-1192 ◽  
Author(s):  
C. Aragone ◽  
A. Restuccia
Keyword(s):  
Static Solution ◽  
Gravitational Theory ◽  
Spherically Symmetric ◽  
Symmetric Static Solution

scholarly journals Numerical spherically symmetric static solution of the RTG equations outside of matter

Open Physics ◽  
2007 ◽  
Vol 5 (2) ◽  
Author(s):  
Anton Godizov
Keyword(s):  
Boundary Conditions ◽  
External Solution ◽  
Static Solution ◽  
Symmetric Case ◽  
Spherically Symmetric ◽  
Natural Boundary ◽  
Symmetric Static Solution ◽  
Natural Boundary Conditions

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.

General form of the analytic function f(T) in diverse dimension for a static planar spacetime

2019 ◽  
Vol 28 (12) ◽  
pp. 1950158 ◽  
Author(s):  
Gamal Nashed
Keyword(s):  
Black Hole ◽  
Analytic Function ◽  
Black Hole Solution ◽  
Static Solution ◽  
Gravitational Theory ◽  
Interesting Property ◽  
Constant Function ◽  
Field Equations ◽  
Adm Mass ◽  
Laws Of Thermodynamics

We derive an exact static solution in diverse dimension, without any constraints, to the field equations of [Formula: see text] gravitational theory using a planar spacetime with two unknown functions, i.e. [Formula: see text] and [Formula: see text]. The black hole solution is characterized by two constants, [Formula: see text] and [Formula: see text], one is related to the mass of the black hole, [Formula: see text], and the other is responsible to make the solution deviate from the teleparallel equivalent of general relativity (TEGR). We show that the analytic function [Formula: see text] depends on the constant [Formula: see text] and becomes constant function when [Formula: see text] which corresponds to the TEGR case. The interesting property of this solution is the fact that it makes the singularity of the Kretschmann invariant much softer than the TEGR case. We calculate the energy of this black hole and show that it is equivalent to ADM mass. Applying a coordinate transformation, we derive a rotating black hole with nontrivial values of the torsion scalar and [Formula: see text]. Finally, we examine the physical properties of this black hole solution using the laws of thermodynamics and show that it has thermodynamical stability.

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

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.

The static spherically symmetric solutions in a unified field theory

1957 ◽  
Vol 53 (2) ◽  
pp. 489-493 ◽  
Author(s):  
John Moffat
Keyword(s):  
Charged Particle ◽  
Electric Energy ◽  
Gravitational Theory ◽  
Spherically Symmetric ◽  
Unified Field Theory ◽  
Field Equations ◽  
Schwarzschild Solution ◽  
Fundamental Properties ◽  
Unified Field ◽  
Conditions At Infinity

ABSTRACTA brief account is given of the fundamental properties of a new generalization ((1), (2)) of Einstein's gravitational theory. The field equations are then solved exactly for the case of a static spherically symmetric gravitational and electric field due to a charged particle at rest at the origin of the space-time coordinates. This solution provides information about the gravitational field produced by the electric energy surrounding a charged particle and yields the Coulomb potential field. The solution satisfies the required boundary conditions at infinity, and it reduces to the Schwarzschild solution of general relativity when the charge is zero.

scholarly journals Charged throats in the Hořava–Lifshitz theory

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.

scholarly journals STATIONARY VACUUM HYPER-CYLINDRICAL SOLUTION IN 4+1 DIMENSIONS

2007 ◽  
Vol 22 (32) ◽  
pp. 2439-2452 ◽  
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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