THE GEOMETRY OF THE TORUS UNIVERSE

2007 ◽  
Vol 16 (04) ◽  
pp. 681-686 ◽  
Author(s):  
R. MURDZEK
Keyword(s):  
General Relativity ◽  
Riemannian Metric ◽  
Cyclic Universe ◽  
Universe Models

In this contribution, we show that the cyclic universe models naturally emerge from torus geometry in a braneworld scenario. The Riemannian metric on torus and the fundamental tensors of the General Relativity are derived. A discussion on particular aspects of this model is also given.

scholarly journals Theory of Discrete Gravity

2018 ◽  
Author(s):  
Mihir Kumar Jha
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Loop Quantum Gravity ◽  
Riemannian Metric ◽  
Space Time ◽  
Final Theory ◽  
Theory Of Everything ◽  
Single Field ◽  
Fundamental Forces ◽  
New Framework

Theory of everything (T.O.E), final theory or ultimate theory is a theoretical framework in the field of physics, which holds an ultimate key to unify all the fundamental forces of nature in a single field. In other words such theory can glue quantum mechanics with general relativity into a single framework. Many theories have been postulated over the decades but the dominant one includes string theory and loop quantum gravity. In this paper I would like to present a new framework which can unify quantum mechanics with general relativity by showing that the change in Riemannian metric or the bend in space time is always an integral multiple of planks constant and since gravity is the result due to bend in space-time, gravity itself is a discrete force

scholarly journals EXACT SOLUTION FOR THE MASSLESS CYLINDRICALLY SYMMETRIC SCALAR FIELD IN GENERAL RELATIVITY, WITH COSMOLOGICAL CONSTANT

2009 ◽  
Vol 24 (31) ◽  
pp. 5991-6000 ◽  
Author(s):  
D. MOMENI ◽  
H. MIRAGHAEI
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Scalar Field ◽  
Cosmological Constant ◽  
Cylindrical Symmetry ◽  
Cosmological Models ◽  
Cyclic Universe ◽  
Cylindrically Symmetric

In this paper, we present a new exact solution for scalar field with cosmological constant in cylindrical symmetry. Associated cosmological models, including a model that describes a cyclic universe, are discussed.

scholarly journals TACHYONIC UNIVERSES IN PATCH COSMOLOGIES WITH Ω > 1

2009 ◽  
Vol 24 (30) ◽  
pp. 2445-2458 ◽  
Author(s):  
SERGIO DEL CAMPO ◽  
RAMÓN HERRERA ◽  
JOEL SAAVEDRA ◽  
PEDRO LABRAÑA ◽  
CARLOS LEIVA
Keyword(s):  
General Relativity ◽  
General Treatment ◽  
Inflationary Universe ◽  
Tachyonic Field ◽  
Astronomical Observations ◽  
Universe Models

In this paper we study closed inflationary universe models by means of a tachyonic field. We described a general treatment for created a universe with Ω > 1 in patch cosmology, which is able to represent General Relativity, Gauss–Bonnet or Randall–Sundrum patches. We use recent data from astronomical observations to constrain the parameters appearing in our model.

Stability analysis of Einstein’s universe in loop quantum cosmology

2020 ◽  
Vol 35 (28) ◽  
pp. 2050166
Author(s):  
Eamon Mc Caughey
Keyword(s):  
General Relativity ◽  
Stability Analysis ◽  
Quantum Cosmology ◽  
Loop Quantum Gravity ◽  
Hamiltonian Structure ◽  
Loop Quantum Cosmology ◽  
Universe Model ◽  
Integrals Of Motion ◽  
Cyclic Universe ◽  
The Stability

A stability analysis of Einstein’s universe in both classical general relativity and semiclassical loop quantum cosmology regimes is presented. The stability properties of the general relativity model are significantly altered due to loop quantum gravity corrections. Comparisons between both dynamical systems are considered on the basis of these modifications. The loop quantum cosmology solutions are restricted to an open universe model [Formula: see text] and represent a cyclic universe. The integrals of motion for both systems are found and their Hamiltonian structure determined.

scholarly journals CLOSED INFLATIONARY UNIVERSE MODELS IN BRANE WORLD COSMOLOGY

2005 ◽  
Vol 14 (05) ◽  
pp. 861-872 ◽  
Author(s):  
SERGIO DEL CAMPO ◽  
RAMÓN HERRERA ◽  
JOEL SAAVEDRA
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Brane World ◽  
Inflationary Universe ◽  
Closed Universe ◽  
Cosmological Context ◽  
The One ◽  
Universe Models ◽  
Einstein’S General Relativity

In this article we study closed inflationary universe models proposed by Linde in a brane world cosmological context. In this scenario we determine and characterize the existence of a closed universe, in presence of one self-interacting scalar field with an inflationary stage. We have found that our model, which takes into account a Brane World Cosmology, is less restrictive than the one that uses standard Einstein's General Relativity cosmology.

ON THE UNIQUENESS OF STATIONARY AXISYMMETRIC ELLIPSOIDAL VACUUM CONFIGURATIONS

1998 ◽  
Vol 13 (14) ◽  
pp. 1101-1107 ◽  
Author(s):  
ISTVÁN RÁCZ ◽  
MÁRIA SÜVEGES
Keyword(s):  
General Relativity ◽  
Riemannian Metric ◽  
Einstein’S Equations ◽  
Einstein's Equations ◽  
Vacuum Space

Stationary axisymmetric vacuum space–times in general relativity are considered. The Riemannian metric induced on the space of the time-like Killing trajectories is assumed to be ellipsoidal. It is demonstrated that the only ellipsoidal solutions of the vacuum Einstein's equations are the Kerr–NUT family with vanishing electric and magnetic charges.

Some topics on scale-invariant perturbations from noninflationary universe

2017 ◽  
Vol 26 (01) ◽  
pp. 1740005 ◽  
Author(s):  
Mingzhe Li
Keyword(s):  
Early Universe ◽  
Main Property ◽  
Scalar Fields ◽  
Scalar Perturbation ◽  
Scale Invariant ◽  
Production Scale ◽  
Tensor Perturbation ◽  
Invariant Tensor ◽  
Cyclic Universe ◽  
Universe Models

In this paper, we review some topics on generations of scale-invariant primordial scalar and tensor perturbations in the early universe models different from inflation. The content includes generation of scale-invariant and Gaussian scalar perturbation in the ekpyrotic/cyclic universe, and production scale-invariant tensor perturbation in contracting universe. The main property of the models reviewed in this paper is the nonminimal couplings, include nonminimal couplings between the scalar fields and those to the gravity. By introducing these couplings, it is not difficult to achieve scale-invariances for the perturbations in the early universe models alternative to inflation.

scholarly journals Designing Cyclic Universe Models

2004 ◽  
Vol 92 (3) ◽  
Author(s):  
Justin Khoury ◽  
Paul J. Steinhardt ◽  
Neil Turok
Keyword(s):  
Cyclic Universe ◽  
Universe Models
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