scholarly journals MOTION OF A TEST PARTICLE IN THE TRANSVERSE SPACE OF Dp-BRANES

2012 ◽  
Vol 21 (11) ◽  
pp. 1250056 ◽  
Author(s):  
ANINDITA BHATTACHARJEE ◽  
ASHOK DAS ◽  
LEVI GREENWOOD ◽  
SUDHAKAR PANDA
Keyword(s):  
Test Particle ◽  
Massive Particle ◽  
Higher Dimensions ◽  
Geodesic Equation ◽  
Point Particle ◽  
Elliptic Motion ◽  
Dimensional Spacetime ◽  
Extended Sources ◽  
Bound Orbits ◽  
Schwarzschild Background

We investigate the motion of a test particle in higher dimensions due to the presence of extended sources like Dp-branes by studying the motion in the transverse space of the brane. This is contrasted with the motion of a point particle in the Schwarzschild background in higher dimensions. Since Dp-branes are specific to 10-dimensional spacetime and exact solutions of geodesic equations for this particular spacetime has not been possible so far for the Schwarzschild background, we focus here to find the leading order solution of the geodesic equation (for motion of light rays). This enables us to compute the bending of light in both the backgrounds. We show that contrary to the well known result of no noncircular bound orbits for a massive particle, in Schwarzschild background, for d ≥ 5, the Dp-brane background does allow bound elliptic motion only for p = 6 and the perihelion of the ellipse regresses instead of advancement. We also find that circular orbits for photon are allowed only for p ≤ 3.

DOMAIN WALLS IN HIGHER DIMENSIONS

1998 ◽  
Vol 07 (01) ◽  
pp. 81-88
Author(s):  
A. BANERJEE ◽  
AJANTA DAS
Keyword(s):  
Energy Density ◽  
Exact Solutions ◽  
Domain Walls ◽  
Stress Component ◽  
Higher Dimensions ◽  
Dimensional Spacetime ◽  
Thick Domain Walls

Thick domain walls with nonvanishing stress component in the direction perpendicular to the plain of the wall are considered. Their exact solutions are obtained in the background of a five-dimensional spacetime. There may be both expanding and collapsing walls. The energy density decreases on both sides of the walls and the spacetime in all cases is found to be reflection symmetric with respect to the walls.

scholarly journals The inverse square law of gravitation

1936 ◽  
Vol 156 (887) ◽  
pp. 62-85 ◽  
Keyword(s):  
Test Particle ◽  
Free Particle ◽  
Classical Mechanics ◽  
Massive Particle ◽  
Temporal Experience ◽  
Mass Particle ◽  
Classical Formulation ◽  
The Mean ◽  
Isolated Point ◽  
Empty Universe

1—In a previous paper the "cosmical" acceleration of a free particle in the presence of the substratum or smoothed-out universe was obtained, and shown to be of the nature of gravitation. In the present paper, the abstract problem of "local" gravitation is considered. The simplest problem of "local" gravitation is the Kepler-Newton problem., which in classical mechanics is the problem of ascertaining the acceleration undergone by a free test-particle in the presence of an isolated point-mass in an otherwise empty universe. Our object is to derive the value of this acceleration by purely kinematic arguments, that is to say, arguments which rely for their empirical premises only on the existence of a temporal experience for each individual observer; as was implicit in the thinking of Zeno, such a temporal experience has to be taken as given before motion can be described at all. However, the concept of the isolated gravitating, mass-particle in an otherwise empty universe is essentially an illegitimate one. In the first place it ignores Mach's principle. We must introduce an array of observers before a relativistic account of gravitation can have a meaning, and these observers must have positions and velocities in order that they may describe the position and velocity of the isolated mass-particle. They must therefore be associated with the presence of particle. They must therefore be associated with the presence of particles other than the massive particle under consideration, and these will play their part in determining the acceleration of a free test particle. In the second place, it has been shown in the previous paper, in general accordance with many modern views, that the phenomenon of gravitation, as summed up in the existence of a "constant" of gravitation, depends itself on the mean matter and motion in the substratum. If we abolish the substratum, as in the classical formulation of the Kepler-Newton problem, we abolish the elements of existence which lead to the isolation of a constant of gravitation. We must therefore retain the substratum.

scholarly journals Gravitational Capture Cross-Section of Particles by Schwarzschild-Tangherlini Black Holes

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 307
Author(s):  
Bobomurat Ahmedov ◽  
Ozodbek Rahimov ◽  
Bobir Toshmatov
Keyword(s):  
Black Hole ◽  
Cross Section ◽  
Cross Sections ◽  
Capture Cross Section ◽  
Higher Dimensions ◽  
Capture Cross ◽  
Circular Orbits ◽  
Test Particles ◽  
Dimensional Spacetime ◽  
Gravitational Capture

We study the capture cross-section of massless (photon) and massive test particles by the Schwarzschild–Tangherlini black hole, which is a solution of pure general relativity in higher dimensional spacetime with R×SD−2 topology. It is shown that an extra dimension weakens the gravitational attraction of a black hole, and consequently, radii of all the characteristic circular orbits, such as the radius of a photonsphere decrease in the higher dimensions. Furthermore, it is shown that in higher dimensions, there are no stable and bounded circular orbits. The critical impact parameters and capture cross-sections of photons and massive particles are calculated for several higher dimensions and it is shown that they also decrease with increasing dimension. Moreover, we calculate the capture cross-section of relativistic and non-relativistic test particles in the higher dimensions..

scholarly journals Growth of resonances and chaos for a spinning test particle in the Schwarzschild background

2020 ◽  
Vol 101 (2) ◽  
Author(s):  
Ondřej Zelenka ◽  
Georgios Lukes-Gerakopoulos ◽  
Vojtěch Witzany ◽  
Ondřej Kopáček
Keyword(s):  
Test Particle ◽  
Schwarzschild Background

scholarly journals Tensor perturbations and thick branes in higher-dimensional f(R) gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Zheng-Quan Cui ◽  
Zi-Chao Lin ◽  
Jun-Jie Wan ◽  
Yu-Xiao Liu ◽  
Li Zhao
Keyword(s):  
Effective Potential ◽  
Higher Dimensions ◽  
Brane Worlds ◽  
Dimensional Spacetime ◽  
Higher Dimensional ◽  
Six Dimensions ◽  
Tensor Perturbations ◽  
Thick Branes ◽  
Kaluza Klein

Abstract We study brane worlds in an anisotropic higher-dimensional spacetime within the context of f(R) gravity. Firstly, we demonstrate that this spacetime with a concrete metric ansatz is stable against linear tensor perturbations under certain conditions. Moreover, the Kaluza-Klein modes of the graviton are analyzed. Secondly, we investigate thick brane solutions in six dimensions and their properties. We further exhibit two sets of solutions for thick branes. At last, the effective potential of the Kaluza-Klein modes of the graviton is discussed for the two solved f(R) models in higher dimensions.

scholarly journals Precession of timelike bound orbits in Kerr spacetime

2021 ◽  
Vol 81 (3) ◽  
Author(s):  
Parth Bambhaniya ◽  
Divyesh N. Solanki ◽  
Dipanjan Dey ◽  
Ashok B. Joshi ◽  
Pankaj S. Joshi ◽  
...  
Keyword(s):  
Test Particle ◽  
Naked Singularity ◽  
Schwarzschild Black Hole ◽  
Perihelion Precession ◽  
Spacetime Geometry ◽  
Kerr Spacetime ◽  
Sagittarius A ◽  
Sgr A ◽  
Bound Orbits ◽  
And Behavior

AbstractAstrometric observations of S-stars provide a unique opportunity to probe the nature of Sagittarius-A* (Sgr-A*). In view of this, it has become important to understand the nature and behavior of timelike bound trajectories of particles around a massive central object. It is known now that whereas the Schwarzschild black hole does not allow the negative precession for the S-stars, the naked singularity spacetimes can admit the positive as well as negative precession for the bound timelike orbits. In this context, we study the perihelion precession of a test particle in the Kerr spacetime geometry. Considering some approximations, we investigate whether the timelike bound orbits of a test particle in Kerr spacetime can have negative precession. In this paper, we only consider low eccentric timelike equatorial orbits. With these considerations, we find that in Kerr spacetimes, negative precession of timelike bound orbits is not allowed.

scholarly journals MASSIVE SPINNING PARTICLE ON ANTI-DE SITTER SPACE

1996 ◽  
Vol 11 (18) ◽  
pp. 3307-3329 ◽  
Author(s):  
S.M. KUZENKO ◽  
S.L. LYAKHOVICH ◽  
A. YU. SEGAL ◽  
A.A. SHARAPOV
Keyword(s):  
Configuration Space ◽  
Degrees Of Freedom ◽  
Massive Particle ◽  
De Sitter Space ◽  
Arbitrary Spin ◽  
Point Particle ◽  
Particle Model ◽  
De Sitter ◽  
Spinning Particle ◽  
Classical Counterpart

To describe a massive particle with fixed, but arbitrary, spin on d=4 anti-de Sitter space M4, we propose the point particle model with configuration space ℳ6=M4×S2, where the sphere S2 corresponds to the spin degrees of freedom. The model possesses two gauge symmetries expressing strong conservation of the phase space counterparts of the second and fourth order Casimir operators for so (3, 2). We prove that the requirement of energy to have a global positive minimum Eo over the configuration space is equivalent to the relation Eo>s, s being the particle’s spin, which presents the classical counterpart of the quantum massive condition. States with minimal energy are studied in detail. The model is shown to be exactly solvable. It can be straightforwardly generalized to describe a spinning particle on d-dimensional anti-de Sitter space Md, with ℳ2(d−1)=Md×S(d−2) the corresponding configuration space.

scholarly journals Gravitational Measurements in Higher Dimensions

Galaxies ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 4
Author(s):  
Davood Mahdavian Yekta ◽  
Seyed Aliasghar Alavi ◽  
Majid Karimabadi
Keyword(s):  
Black Hole ◽  
Extra Dimensions ◽  
Higher Dimensions ◽  
Spherically Symmetric ◽  
De Sitter ◽  
Tests Of General Relativity ◽  
Sitter Spacetime ◽  
Dimensional Spacetime ◽  
Einstein's Equation ◽  
Different Dimensions

We attempt to study three significant tests of general relativity in higher dimensions, both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of Einstein’s equation in higher dimensions, with a source given by a static, spherically symmetric Gaussian distribution of mass. The resulting metric would describe a regular or curvature singularity free black hole in higher dimensions. The metric should smoothly interpolate between Schwarzschild geometry at large distance, and de-Sitter spacetime at short distance. We will consider gravitational redshift, lensing, and time delay in each sector. It will be shown that, compared to the four-dimensional spacetime, there can be significant modifications due to the presence of extra dimensions and the non-commutative corrected black holes. Finally, we shall attempt to obtain a lower bound on the size of the extra dimensions and on the mass needed to form a black hole in different dimensions.

scholarly journals Higher Dimensional Exact Solutions of Einstein’s Field Equations for a Massive Point Particle with Scalar Point Charge

1998 ◽  
Vol 51 (3) ◽  
pp. 577
Author(s):  
M. P. Joshi ◽  
G. S. Khadekar
Keyword(s):  
Point Charge ◽  
Static Solution ◽  
Higher Dimensions ◽  
Point Particle ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Einstein’S Field Equations ◽  
Field Equations ◽  
Massive Point ◽  
Einstein's Field Equations

The exact spherically symmetric static solution of Einstein’s field equations in higher dimensions for a massive point particle with a scalar point charge as the source of a massless scalar field is derived in Schwarzschild coordinates. There exists no Schwarzschild horizon. This result is an extension in higher dimensions of a similar one obtained by Hardell and Dehnen (1993) earlier for 4D space-time.

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