scholarly journals ACCELERATING UNIVERSE FROM EXTRA SPATIAL DIMENSION

2006 ◽  
Vol 21 (19n20) ◽  
pp. 4035-4044 ◽  
Author(s):  
S. CHATTERJEE ◽  
A. BANERJEE ◽  
Y. Z. ZHANG
Keyword(s):  
Negative Pressure ◽  
Extra Dimensions ◽  
Spatial Dimension ◽  
Big Bang ◽  
Accelerating Universe ◽  
Higher Dimensional ◽  
Matter Theory ◽  
Desirable Feature ◽  
Extra Spatial Dimension ◽  
Induced Matter

We present a simple higher dimensional FRW-type of model where the acceleration is apparently caused by the presence of the extra dimensions. Assuming an ansatz in the form of the deceleration parameter, we get a class of solutions some of which shows the desirable feature of dimensional reduction as well as reasonably good physical properties of matter. Interestingly we do not have to invoke an extraneous scalar field or a cosmological constant to account for this acceleration. One argues that the terms containing the higher dimensional metric coefficients produces an extra negative pressure that apparently drives the inflation of the 4D space with an accelerating phase. It is further found that in line with the physical requirements our model admits of a decelerating phase in the early era along with an accelerating phase at present. Further the models asymptotically mimic a steady-state-type of universe although it starts from a big-bang-type of singularity. Correspondence to Wesson's induced matter theory is also briefly discussed and, in line with it, it is argued that the terms containing the higher dimensional metric coefficients apparently creates a negative pressure which drives the inflation of the 3-space with an accelerating phase.

MASS, PARTICLES AND WAVES IN HIGHER DIMENSIONS

2003 ◽  
Vol 12 (09) ◽  
pp. 1721-1727 ◽  
Author(s):  
PAUL S. WESSON
Keyword(s):  
Equations Of Motion ◽  
Higher Dimensions ◽  
Particle Mass ◽  
Dimensional Manifold ◽  
Higher Dimensional ◽  
Matter Theory ◽  
Induced Matter

Using 5D membrane/induced-matter theory as a basis, we derive the equations of motion for a novel gauge. The latter admits both particle and wave behaviour, as well as super-communication (wherein there is causal contact in the higher-dimensional manifold among points which are disjoint in spacetime). Possible ways to test this model are suggested, notably using particle mass.

scholarly journals The Modern Induced Matter Approach of General Relativity for Quantum Mechanics

2017 ◽  
Vol 26 (3) ◽  
pp. 209
Author(s):  
Vo Van Thuan ◽  
Nguyen Thi Kim Thoa
Keyword(s):  
Quantum Mechanics ◽  
Physical Reality ◽  
Space Time ◽  
Gravitational Equation ◽  
Hubble Expansion ◽  
Higher Dimensional ◽  
Matter Theory ◽  
Klein Theory ◽  
Klein Gordon ◽  
Induced Matter

Wesson and his co-workers developed so-called space-time-matter theory (5D-STM) as a generalization of Kaluza-Klein theory, where the extra-dimension in the 5D space-time is no more compacted, but keeping extended in a macroscopic scale to describe the properties of matter in 4D physics. In a trend of 5D-STM approach (or the induced-matter theory), following a bi-cylindrical model of geometrical dynamics, a recent study has shown that the higher 6D-dimensional gravitational equation leads to bi-geodesic description in an extended timespace symmetry which fits Hubble expansion in a ”microscopic” cosmological model. As a duality, the geodesic solution is mathematically equivalent to the basic Klein-Gordon-Fock equations of free massive elementary particles. The 4D-embedded dual solutions of the higher dimensional gravitational equation could shed light on origin of physical reality in quantum mechanics, which is to compare with the achievements of the 5D-STM theory.

scholarly journals CORRESPONDENCE BETWEEN MODIFIED GRAVITY AND 5D RICCI-FLAT COSMOLOGIES

2009 ◽  
Vol 18 (07) ◽  
pp. 1049-1058 ◽  
Author(s):  
K. ATAZADEH ◽  
H. R. SEPANGI ◽  
F. DARABI
Keyword(s):  
Dimensional Space ◽  
Late Time ◽  
Theoretical Frameworks ◽  
Hubble Expansion ◽  
Higher Dimensional Space Time ◽  
Higher Dimensional ◽  
Matter Theory ◽  
Dimensional Space Time ◽  
Metric Functions ◽  
Induced Matter

We study the correspondence between two theoretical frameworks for describing dark energy: f(R) gravity and higher-dimensional space–time–matter (STM) or induced matter theory. We show that the Hubble expansion parameter in f(R) gravity can be associated with a combination of metric functions in STM theory, and consider a specific example whose properties are consistent with late time acceleration.

INDUCING CHARGES AND CURRENTS FROM EXTRA DIMENSIONS

2008 ◽  
Vol 23 (03) ◽  
pp. 197-203 ◽  
Author(s):  
M. A. S. CRUZ ◽  
F. DAHIA ◽  
C. ROMERO
Keyword(s):  
Extra Dimensions ◽  
Maxwell Equations ◽  
Dimensional Space ◽  
Einstein Equations ◽  
Matter Theory ◽  
Klein Theory ◽  
Fundamental Equations ◽  
Induced Matter ◽  
Minkowskian Geometry ◽  
Kaluza Klein

In a particular variant of Kaluza–Klein theory, the so-called induced-matter theory (IMT), it is shown that any configuration of matter may be geometrically induced from a five-dimensional vacuum space. By using a similar approach we show that any distribution of charges and currents may also be induced from a five-dimensional space. Although in the case of IMT the geometry is Riemannian and the fundamental equations are the five-dimensional Einstein equations in vacuum, here we consider a Minkowskian geometry and five-dimensional Maxwell equations in vacuum.

scholarly journals Accounting for exotic matter and the extreme radial tension in Morris–Thorne wormholes of embedding class one

2021 ◽  
Vol 81 (8) ◽  
Author(s):  
Peter K. F. Kuhfittig
Keyword(s):  
Exotic Matter ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Flat Spacetime ◽  
Embedding Class One ◽  
Fifth Dimension ◽  
Higher Dimensional ◽  
Matter Theory ◽  
Radial Tension ◽  
Induced Matter

AbstractThe embedding of a curved spacetime in a higher-dimensional flat spacetime has continued to be a topic of interest in the general theory of relativity, as exemplified by the induced-matter theory. This paper deals with spacetimes of embedding class one, i.e., spacetimes that can be embedded in a five-dimensional flat spacetime. Einstein’s theory allows the fifth dimension to be either spacelike or timelike. By assuming the latter, this paper addresses two fundamental issues concerning Morris–Thorne wormholes, the origin of exotic matter and the frequently inexplicable enormous radial tension at the throat.

scholarly journals Unitarity in KK-graviton production, a case study in warped extra-dimensions

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
A. de Giorgi ◽  
S. Vogl
Keyword(s):  
Extra Dimensions ◽  
Sum Rules ◽  
Effective Theory ◽  
Higher Dimensional ◽  
Massive Spin ◽  
The Matrix ◽  
Dimensional Gravity ◽  
Warped Extra Dimensions ◽  
Kaluza Klein

Abstract The Kaluza-Klein (KK) decomposition of higher-dimensional gravity gives rise to a tower of KK-gravitons in the effective four-dimensional (4D) theory. Such massive spin-2 fields are known to be connected with unitarity issues and easily lead to a breakdown of the effective theory well below the naive scale of the interaction. However, the breakdown of the effective 4D theory is expected to be controlled by the parameters of the 5D theory. Working in a simplified Randall-Sundrum model we study the matrix elements for matter annihilations into massive gravitons. We find that truncating the KK-tower leads to an early breakdown of perturbative unitarity. However, by considering the full tower we obtain a set of sum rules for the couplings between the different KK-fields that restore unitarity up to the scale of the 5D theory. We prove analytically that these are fulfilled in the model under consideration and present numerical tests of their convergence. This work complements earlier studies that focused on graviton self-interactions and yields additional sum rules that are required if matter fields are incorporated into warped extra-dimensions.

scholarly journals GRAVITY-WAVE DETECTORS AS PROBES OF EXTRA DIMENSIONS

2005 ◽  
Vol 14 (12) ◽  
pp. 2347-2353 ◽  
Author(s):  
CHRIS CLARKSON ◽  
ROY MAARTENS
Keyword(s):  
Black Holes ◽  
String Theory ◽  
Gravity Wave ◽  
Gravity Waves ◽  
Extra Dimensions ◽  
State Of The Art ◽  
Three Dimensional ◽  
Observable Universe ◽  
Dimensional Spacetime ◽  
Higher Dimensional

If string theory is correct, then our observable universe may be a three-dimensional "brane" embedded in a higher-dimensional spacetime. This theoretical scenario should be tested via the state-of-the-art in gravitational experiments — the current and upcoming gravity-wave detectors. Indeed, the existence of extra dimensions leads to oscillations that leave a spectroscopic signature in the gravity-wave signal from black holes. The detectors that have been designed to confirm Einstein's prediction of gravity waves, can in principle also provide tests and constraints on string theory.

Sign in / Sign up

Export Citation Format

Share Document