scholarly journals GRAVITATIONAL RADIATION OF ACCELERATED SOURCES

2007 ◽  
Vol 16 (05) ◽  
pp. 857-873
Author(s):  
J. W. MALUF ◽  
V. C. ANDRADE ◽  
J. R. STEINER
Keyword(s):  
General Relativity ◽  
Gravitational Radiation ◽  
Space Time ◽  
Simple Expression ◽  
Spherically Symmetric ◽  
Exterior Space ◽  
Accelerated Motion ◽  
Realistic Situation ◽  
Gravitational Source ◽  
The Absolute

We investigate the gravitational radiation produced by a linearly accelerated source in general relativity. The investigation is performed by studying the vacuum C metric, which is interpreted as representing the exterior space–time of an uniformly accelerating spherically symmetric gravitational source, and is carried out in the context of the teleparallel equivalent of general relativity. For an observer sufficiently far from both the (modified) Schwarzschild and Rindler horizons, which is a realistic situation, we obtain a simple expression for the total emitted gravitational radiation. We also briefly discuss on the absolute or relative character of the accelerated motion.

AN ANSWER TO THE MAIN BLACK HOLE PATHOLOGY: FORMING NONSINGULAR BLACK HOLES FROM DUST COLLAPSE

2009 ◽  
Vol 18 (14) ◽  
pp. 2221-2229 ◽  
Author(s):  
R. MAIER ◽  
I. DAMIÃO SOARES
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Event Horizon ◽  
Nonlinear Resonance ◽  
Space Time ◽  
Low Energy ◽  
Spherically Symmetric ◽  
Energy Limit ◽  
Exterior Space

The dynamics of gravitational collapse is examined in the realm of string-based formalism of D-branes which encompasses general relativity as a low energy limit. A complete analytical solution is given to the spherically symmetric collapse of a pure dust star, including its matching with a corrected Schwarzschild exterior space–time. The collapse forms a black hole (an exterior event horizon) enclosing not a singularity but perpetually bouncing matter in the infinite chain of space–time maximal analytical extensions inside the outer event horizon. This chain of analytical extensions has a structure analogous to that of the Reissner–Nordstrom solution. The interior trapped bouncing matter has the possibility of being expelled by disruptive nonlinear resonance mechanisms.

scholarly journals Anisotropic compact stars via embedding approach in general relativity: new physical insights of stellar configurations

2021 ◽  
Vol 81 (3) ◽  
Author(s):  
Abdelghani Errehymy ◽  
Youssef Khedif ◽  
Mohammed Daoud
Keyword(s):  
General Relativity ◽  
Space Time ◽  
Compact Stars ◽  
Energy Conditions ◽  
Spherically Symmetric ◽  
Interior Space ◽  
Exterior Space ◽  
New Family ◽  
Embedding Class One ◽  
Physical Tests

AbstractThe main focus of this paper is to explore the possibility of providing a new family of exact solutions for suitable anisotropic spherically symmetric systems in the realm of general relativity involving the embedding spherically symmetric static metric into the five-dimensional pseudo-Euclidean space. In this regard, we ansatz a new metric potential $$\lambda (r)$$ λ ( r ) , and we obtained the other metric potential $$\nu (r)$$ ν ( r ) by mains of embedding class one approach. The unknown constants are determined by the matching of interior space-time with the Schwarzschild exterior space-time. The physical acceptability of the generating celestial model for anisotropic compact stars is approved via acting several physical tests of the main salient features viz., energy density, radial and tangential pressures, anisotropy effect, dynamical equilibrium, energy conditions, and dynamical stability, which are well-compared with experimental statistics of four different compact stars: PSR J1416-2230, PSR J1903+327, 4U 1820-30 and Cen X-3. Conclusively, all the compact stars under observations are realistic, stable, and are free from any physical or geometrical singularities. We find that the embedding class one solution for anisotropic compact stars is viable and stable, plus, it provides circumstantial evidence in favor of super-massive pulsars.

scholarly journals Study of charged compact stars with class 1 metric under general relativity

2019 ◽  
Vol 97 (12) ◽  
pp. 1323-1331 ◽  
Author(s):  
S.K. Maurya ◽  
S. Roy Chowdhury ◽  
Saibal Ray ◽  
B. Dayanandan
Keyword(s):  
General Relativity ◽  
Compact Star ◽  
Space Time ◽  
Electron Cloud ◽  
Compact Stars ◽  
Stellar Structure ◽  
Spherically Symmetric ◽  
Class 1 ◽  
Maxwell Space ◽  
Physical Tests

In the present paper we study compact stars under the background of Einstein–Maxwell space–time, where the 4-dimensional spherically symmetric space–time of class 1 along with the Karmarkar condition has been adopted. The investigations, via the set of exact solutions, show several important results, such as (i) the value of density on the surface is finite; (ii) due to the presence of the electric field, the outer surface or the crust region can be considered to be made of electron cloud; (iii) the charge increases rapidly after crossing a certain cutoff region (r/R ≈ 0.3); and (iv) the avalanche of charge has a possible interaction with the particles that are away from the center. As the stellar structure supports all the physical tests performed on it, therefore the overall observation is that the model provides a physically viable and stable compact star.

scholarly journals Quantization and Assessment of the Gravitational Waves

2021 ◽  
pp. 21-25
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Gravitational Radiation ◽  
Geometrical Structure ◽  
Space Time ◽  
Speed Of Light ◽  
Gravitational Fields ◽  
Strong Gravitational Fields ◽  
Time Continuum

General Relativity describes the movement of bodies in strong gravitational fields with the geometrical structure of the dynamical space-time continuum. Accelerating objects produce changes in the curvature which propagate outwards at the speed of light in a wave-like manner which transports energy as gravitational radiation and this phenomenon are known as gravitational waves.

scholarly journals Gravitational Mass Dependence on Velocity and the Conservation of Energy in General Relativity

2018 ◽  
Vol 10 (2) ◽  
pp. 26
Author(s):  
Jaroslav Hynecek
Keyword(s):  
General Relativity ◽  
Free Fall ◽  
Test Body ◽  
Space Time ◽  
Gravitational Mass ◽  
Relativity Theory ◽  
Mass Dependence ◽  
Conservation Of Energy ◽  
Curved Space ◽  
Accelerated Motion

This paper investigates by simple means the relativistic accelerated motion of a small test body in a simulated uniform gravitational like field and compares the predictions of energy loss, perhaps by radiation, obtained from the General Relativity Theory (GRT) and from the Metric Theory of Gravity (MTG). The study is first conducted in a flat Minkowski space-time with simulated constant gravitational like force and later in a true curved space-time with a metric, which, however, is not derived from the GRT. It is found that the gravitational mass dependence on velocity in GRT is not correct, because it predicts a negative loss of energy while the MTG predicts correctly a positive loss. The energy is conserved in a curved space-time free fall where the gravitational mass does not depend on velocity. There can be no energy radiation during the test body free fall in a uniform gravitational field.

XVII.—The Regraduation of Clocks in Spherically Symmetric Space-times of General Relativity.

1946 ◽  
Vol 62 (2) ◽  
pp. 147-155
Author(s):  
G. C. McVittie
Keyword(s):  
General Relativity ◽  
Symmetric Space ◽  
Coordinate Transformation ◽  
Riemannian Space ◽  
Space Time ◽  
Spherically Symmetric ◽  
Dynamical Time

SummaryThe changes in his description of events brought about by an arbitrary regraduation of an observer's clock are examined, taking the axioms of general relativity as fundamental. It is shown that regraduation does not imply a change from one Riemannian space-time to another but merely a coordinate transformation within space-time. A generalisation of the “dynamical time” of kinematical relativity is a by-product of the investigation.

A comparative analysis of self-consistent charged anisotropic spheres

2021 ◽  
Vol 36 (27) ◽  
Author(s):  
Mushtaq Ahmad ◽  
G. Mustafa ◽  
M. Farasat Shamir
Keyword(s):  
Mass Formula ◽  
Necessary Conditions ◽  
Substantial Effect ◽  
Graphical Analysis ◽  
Space Time ◽  
Spherically Symmetric ◽  
Exterior Space ◽  
Self Consistent ◽  
Anisotropic Spheres ◽  
Anisotropic Source

This study is devoted to exploring the charged stellar structures under embedded space–time using the Karmarkar condition. For this, spherically symmetric space–time with the anisotropic source of fluid possessing an electric charge has been incorporated. Further, the Bardeen and Reissner–Nordstrom geometries have been employed as exterior space–time to calculate the values of the involved constants. The interior solutions of a stellar object have been worked out with the observational mass [Formula: see text], and [Formula: see text] km. It is argued that the acquired solutions accomplish all the necessary conditions for self-consistent charged stars. It has been noted through the detailed graphical analysis that our obtained solutions are physically stable and self-consistent with the best degree of accuracy for [Formula: see text], where parameter [Formula: see text] is involved in the model under discussion. Beyond this bound [Formula: see text], the realistic solutions of stellar models under discussion could not be found. After perceiving the marginal dissimilarities between our proposed models in both cases, Andreasson’s limit [Formula: see text], critically important for the stellar structures, has been achieved in both the models under investigation. Lastly, it is established that the parameter [Formula: see text] has a substantial effect on worked-out solutions under the employment of Bardeen and Reissner–Nordstrom’s stellar structures.

scholarly journals Collapsing Wormholes Sustained by Dustlike Matter

Universe ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. 186
Author(s):  
Pavel E. Kashargin ◽  
Sergey V. Sushkov
Keyword(s):  
General Relativity ◽  
General Solution ◽  
Space Time ◽  
Time Structure ◽  
Energy Conditions ◽  
Spherically Symmetric ◽  
Friedmann Universe ◽  
Dust Shell ◽  
Wormhole Solution ◽  
Space Time Structure

It is well known that static wormhole configurations in general relativity (GR) are possible only if matter threading the wormhole throat is “exotic”—i.e., violates a number of energy conditions. For this reason, it is impossible to construct static wormholes supported only by dust-like matter which satisfies all usual energy conditions. However, this is not the case for non-static configurations. In 1934, Tolman found a general solution describing the evolution of a spherical dust shell in GR. In this particular case, Tolman’s solution describes the collapsing dust ball; the inner space-time structure of the ball corresponds to the Friedmann universe filled by a dust. In the present work we use the general Tolman’s solution in order to construct a dynamic spherically symmetric wormhole solution in GR with dust-like matter. The solution constructed represents the collapsing dust ball with the inner wormhole space-time structure. It is worth noting that, with the dust-like matter, the ball is made of satisfies the usual energy conditions and cannot prevent the collapse. We discuss in detail the properties of the collapsing dust wormhole.

scholarly journals Super Accelerated Motion in Rindler Spacetime

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
General Relativity ◽  
Space Time ◽  
Relativity Theory ◽  
General Relativity Theory ◽  
Accelerated Motion ◽  
Rindler Space

In the general relativity theory, we discover formulas that the super accelerated matter moves withthe acceleration about Rindler space-time. We can represent the super accelerated motion aboutcoordinates

scholarly journals Landauer Principle and General Relativity

Entropy ◽  
2020 ◽  
Vol 22 (3) ◽  
pp. 340 ◽  
Author(s):  
Luis Herrera
Keyword(s):  
General Relativity ◽  
Explicit Expression ◽  
Gravitational Radiation ◽  
Irreversible Process ◽  
Space Time ◽  
Radiated Energy ◽  
Theory Of Gravitation ◽  
Straightforward Consequence

We endeavour to illustrate the physical relevance of the Landauer principle applying it to different important issues concerning the theory of gravitation. We shall first analyze, in the context of general relativity, the consequences derived from the fact, implied by Landauer principle, that information has mass. Next, we shall analyze the role played by the Landauer principle in order to understand why different congruences of observers provide very different physical descriptions of the same space-time. Finally, we shall apply the Landauer principle to the problem of gravitational radiation. We shall see that the fact that gravitational radiation is an irreversible process entailing dissipation, is a straightforward consequence of the Landauer principle and of the fact that gravitational radiation conveys information. An expression measuring the part of radiated energy that corresponds to the radiated information and an expression defining the total number of bits erased in that process, shall be obtained, as well as an explicit expression linking the latter to the Bondi news function.

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