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Klein-Gordon equation is derived for a particle in the brane model of Universe. It is compared with squared Dirac-Fock-Ivanenko equation and expression for a chiral current is obtained by this comparison. This expression defines chiral…

综合物理 · 物理学 2014-11-12 Sergey N. Andrianov , Sergey M. Kozyrev , Rinat A. Daishev

Brane model of universe is considered for a free particle. Conservation laws on the brane are obtained using the symmetry properties of the brane. Equation of motion is derived for a particle using variation principle from these…

广义相对论与量子宇宙学 · 物理学 2013-07-03 Sergey N. Andrianov , Rinat A. Daishev , Sergey M. Kozyrev

We present a comprehensive formalism to derive precise expressions for the induced gravity of the braneworld, assuming the dynamics of the Dirac-Nambu-Goto type. The quantum fluctuations of the brane at short distances give rise to…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Keiichi Akama , Takashi Hattori

We show how the gravity, gauge, and matter fields are induced on dynamically localized brane world (domain wall, vortex etc.). Solitonic solutions localized on a curved brane in certain field theories in higher dimensions are given in terms…

高能物理 - 理论 · 物理学 2007-05-23 Keiichi Akama

We show how the gravity, extrinsic curvature, and gauge field theories are induced on dynamically localized brane world. They should obey the Gauss-Codazzi-Ricci equation in addition to their own equations of motion. As an example, we…

高能物理 - 理论 · 物理学 2009-10-31 Keiichi Akama , Takashi Hattori

We present the effective gravitational field equations in a 3-brane world with Euler-Poincare term and a cosmological constant in the bulk spacetime. The similar equations on a 3-brane with $\mathbb{Z}_2$ symmetry embedded in a five…

高能物理 - 理论 · 物理学 2009-11-11 A. N. Aliev , H. Cebeci , T. Dereli

We consider a brane-world of co-dimension one without the reflection symmetry that is commonly imposed between the two sides of the brane. Using the coordinate-free formalism of the Gauss-Codacci equations, we derive the effective Einstein…

高能物理 - 理论 · 物理学 2016-09-06 Richard A. Battye , Brandon Carter , Andrew Mennim , Jean-Philippe Uzan

Suggested theory involves a drastic revision of a role of local internal symmetries in physical concept of curved geometry. Under the reflection of fields and their dynamics from Minkowski to Riemannian space a standard gauge principle of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 G. T. Ter-Kazarian

We derive the four-dimensional field equations for the induced metric and scalar field on the world-volume of a 3-brane in a five-dimensional bulk with Einstein gravity plus a self-interacting scalar field. We calculate the effective…

高能物理 - 理论 · 物理学 2009-10-31 Kei-ichi Maeda , David Wands

Following a bi-cylindrical model of geometrical dynamics, in the present study we show that Einstein gravitational equation leads to bi-geodesic description in an extended symmetrical time-space which fit Hubble expansion in a "microscopic"…

综合物理 · 物理学 2016-05-13 Vo Van Thuan

In brane world models, combining the extra dimensional field modes with the standard four dimensional ones yields interesting physical consequences that have been proved from high energy physics to cosmology. Even some low energy phenomena…

高能物理 - 唯象学 · 物理学 2015-06-18 Román Linares , Hugo A. Morales-Técotl , Omar Pedraza , Luis O. Pimentel

Gauge fields associated to the Dirac matrix algebra used with the standard quadratic gauge field Lagrangian lead to an extended gravitational Lagrangian which includes the Einstein-Hilbert one, plus quadratic, cosmological constant and…

广义相对论与量子宇宙学 · 物理学 2016-02-08 Jean Pierre Pansart

We develop a new approach to gravitational waves in which the Einstein equations are governed by the cosmological constant which is related to the existence of a manifold which is closed. We study an example in which the matter Lagrangian…

广义相对论与量子宇宙学 · 物理学 2015-03-20 Luis Santiago Ridao , Mauricio Bellini

We rewrite the Klein-Gordon (KG) equation in an arbitrary space-time transforming it into a generalized Schr\"odinger equation. Then we take the weak field limit and show that this equation has some differences with the traditional…

广义相对论与量子宇宙学 · 物理学 2021-04-30 Omar Gallegos , Tonatiuh Matos

We present the effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the $Z_2$ symmetric brane. Applying…

广义相对论与量子宇宙学 · 物理学 2011-05-05 Kei-ichi Maeda , Shuntaro Mizuno , Takashi Torii

Diakonov formulated a model of a primordial Dirac spinor field interacting gravitationally within the geometric framework of the Poincar\'e gauge theory (PGT). Thus, the gravitational field variables are the orthonormal coframe (tetrad) and…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Yuri N. Obukhov , Friedrich W. Hehl

Gravitational waves in cylindrically symmetric Einstein gravity are described by an effective energy tensor with the same form as that of a massless Klein- Gordon field, in terms of a gravitational potential generalizing the Newtonian…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Sean A. Hayward

Inertia is defined axiomatically. The gravitational field is caused by the flow of intergalactic masses. Origin of space and time are connected with fields. The cosmos is bounded by inertia and gravitation, which is the sequence of…

综合物理 · 物理学 2007-05-23 Doriana Kiekhoeven

We present effective gravitational equations at low energies in a $Z_2$-symmetric braneworld with the Gauss-Bonnet term. Our derivation is based on the geometrical projection approach, and we solve iteratively the bulk geometry using the…

高能物理 - 理论 · 物理学 2008-11-26 Tsutomu Kobayashi , Tetsuya Shiromizu , Nathalie Deruelle

We calculate the amplitude of gravitational waves produced by inflation on a de Sitter brane embedded in five-dimensional anti-de Sitter bulk spacetime, extending previous calculations in Randall-Sundrum type cosmology to include the effect…

高能物理 - 理论 · 物理学 2009-11-10 Mariam Bouhmadi-Lopez , Roy Maartens , David Wands
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