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Spacetimes obtained by dimensional reduction along lattices containing a lightlike direction can admit semigroup extensions of their isometry groups. We show by concrete examples that such a semigroup can exhibit a natural order, which in…

High Energy Physics - Theory · Physics 2008-11-26 Hanno Hammer

We report the results of a study on the dynamical compactification of spatially flat cosmological models in Einstein-Gauss-Bonnet gravity. The analysis was performed in the arbitrary dimension in order to be more general. We consider both…

High Energy Physics - Theory · Physics 2018-03-08 Sergey Pavluchenko

A general formula is obtained for Yukawa couplings in compactification on \LGO{s} and corresponding \CY\ spaces. Up to the kinetic term normalizations, this equates the classical Koszul ring structure with the \LGO\ chiral ring structure…

High Energy Physics - Theory · Physics 2010-11-01 P. Berglund , T. Hübsch

The genuine Kaluza-Klein-like theories (with no fields in addition to gravity) have difficulties with the existence of massless spinors after the ompactification of some of dimensions of space\cite{witten}. We assume a $M^{(1+3)} \times$ a…

High Energy Physics - Theory · Physics 2008-11-26 N. Mankoc Borstnik , H. B. Nielsen

A complete set of wave solutions is given for the weak field in a Kaluza-Klein theory with degenerate metric. In the five-dimensional version of this theory electromagnetism is described by two vector fields, and there is a reflection…

General Physics · Physics 2020-07-24 Trevor P. Searight

The availability of scaling solutions in renormalisation group improved versions of cosmology are investigated in the high-energy limit. We adopt $f(R)$-type models of quantum gravity which display an interacting ultraviolet fixed point at…

General Relativity and Quantum Cosmology · Physics 2018-05-16 Kevin Falls , Daniel F. Litim , Kostas Nikolakopoulos , Christoph Rahmede

As an extension of previous works on classical tests of Kaluza-Klein (KK) gravity and as an attempt to find more stringent constraints on this theory, its effects on physical experiments and astronomical observations conducted in the Solar…

General Relativity and Quantum Cosmology · Physics 2015-11-24 Xue-Mei Deng , Yi Xie

We perform a comprehensive analysis of the scattering of matter and gravitational Kaluza-Klein (KK) modes in five-dimensional gravity theories. We consider matter localized on a brane as well as in the bulk of the extra dimension for…

High Energy Physics - Phenomenology · Physics 2024-07-02 R. Sekhar Chivukula , Joshua A. Gill , Kirtimaan A. Mohan , Dipan Sengupta , Elizabeth H. Simmons , Xing Wang

Given a super-integrable system in $n$ degrees of freedom, possessing an integral which is linear in momenta, we use the "Kaluza-Klein construction" in reverse to reduce to a lower dimensional super-integrable system. We give two examples…

Exactly Solvable and Integrable Systems · Physics 2018-08-01 Allan P. Fordy

The non-Abelian Kaluza-Klein unification of gravitation with gauge fields theory is reformulated, with the inclusion of a massive spin-2 field defined by the extrinsic curvature. The internal space is non-compact, characterized by the group…

High Energy Physics - Theory · Physics 2013-11-01 D. C. N. Cunha , M. D. Maia

We study compactifications of Einstein gravity on product spaces in vacuum and their acceleration phases. Scalar potentials for the dimensionally reduced effective theory are found to be of exponential form and exact solutions are obtained…

High Energy Physics - Theory · Physics 2009-11-10 Chiang-Mei Chen , Pei-Ming Ho , Ishwaree P. Neupane , John E. Wang

A new five dimensional spherical vacuum solution is both dervied and its signature, curvature and truncation discussed. Its truncation leads to a four dimensional spacetime with similiar stress to those found by charge-free Kaluza-Klein…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Mark D. Roberts

We study the effect of compact extra dimensions on the gravitational wave luminosity and waveform. We consider a toy model, with a compactified fifth dimension, and matter confined on a brane. We work in the context of five dimensional…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Yuchen Du , Shammi Tahura , Diana Vaman , Kent Yagi

Causal Dynamical Triangulations (CDT) is a proposal for a theory of quantum gravity, which implements a path-integral quantization of gravity as the continuum limit of a sum over piecewise flat spacetime geometries. We use Monte Carlo…

High Energy Physics - Theory · Physics 2012-06-25 J. Ambjorn , S. Jordan , J. Jurkiewicz , R. Loll

We consider the problem of (1+1)-dimensional quantum gravity coupled to particles. Working with the canonically reduced Hamiltonian, we obtain its post-Newtonian expansion for two identical particles. We quantize the (1+1)-dimensional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. B. Mann , M. B. Young

We present the complete scheme of the application of the one-and two dimensional subspace and subgroups method to five-dimensional gravity with a $G_{3}$ group of motion. We do so in the space time and in the potential space formalisms.…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Tonatiuh Matos

We generalize the 1+1-dimensional gravity formalism of Ohta and Mann to 3+1 dimensions by developing the canonical reduction of a proposed formalism applied to a system coupled with a set of point particles. This is done via the…

General Relativity and Quantum Cosmology · Physics 2016-05-12 T. C. Scott , Xiangdong Zhang , R. B. Mann , G. J. Fee

New results and perspectives precipitate from the (modified as) Kaluza ansatz 2 (KA2), whereby, instead of appending $n$ Planck-scale (${\rm L_o}$) compact SL dimensions to ordinary 4D spacetime, one augments $n$ such dimensions by 3 large…

General Physics · Physics 2012-06-28 Nikolaos A. Batakis

The geometrization of the Electro-Weak Model is achieved in a 5-dimensional Riemann-Cartan framework. Matter spinorial fields are extended to 5 dimensions by the choice of a proper dependence on the extra-coordinate and of a normalization…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Orchidea Maria Lecian Giovanni Montani

We investigate the classical gravitational tests for the six-dimensional Kaluza-Klein model with spherical (of a radius $a$) compactification of the internal space. The model contains also a bare multidimensional cosmological constant…

General Relativity and Quantum Cosmology · Physics 2013-10-22 Alexey Chopovsky , Maxim Eingorn , Alexander Zhuk