### Abstract

Geometrization of the fundamental interactions has been extensively studied during the century. The idea of introducing compactified spatial dimensions originated by Kaluza and Klein. Following their approach, several model were built representing quantum numbers (e.g. charges) as compactified space-Time dimensions. Such geometrized theoretical descriptions of the fundamental interactions might lead us to get closer to the unification of the principle theories. Here, we apply a 3 + 1C + 1 dimensional theory, which contains one extra compactified spatial dimension 1C in connection with the flavor quantum number in Quantum Chromodynamics. Within our model the size of the 1C dimension is proportional to the inverse mass-difference of the first low-mass baryon states. We used this phenomena to apply in a compact star model-a natural laboratory for testing the theory of strong interaction and the gravitational theory in parallel. Our aim is to test the modification of the measurable macroscopical parameters of a compact Kaluza-Klein star by varying the size of the compactified extra dimension. Since larger the RC the smaller the mass difference between the first spokes of the Kaluza-Klein ladder resulting smaller-mass stars. Using the Tolman-Oppenheimer-Volkov equation, we investigate the M-R diagram and the dependence of the maximum mass of compact stars. Besides testing the validity of our model we compare our results to the existing observational data of pulsar properties for constraints.

Original language | English |
---|---|

Article number | 1645031 |

Journal | International Journal of Modern Physics A |

Volume | 31 |

Issue number | 28-29 |

DOIs | |

Publication status | Published - Oct 20 2016 |

### Fingerprint

### Keywords

- Compact star
- compactified extra dimensions
- general relativity
- Kaluza-Klein model
- neutron star

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics

### Cite this

*International Journal of Modern Physics A*,

*31*(28-29), [1645031]. https://doi.org/10.1142/S0217751X16450317

**Testing a possible way of geometrization of the strong interaction by a Kaluza-Klein star.** / Karsai, Szilvia; Pósfay, Péter; Barnaföldi, G.; Lukács, Béla.

Research output: Contribution to journal › Article

*International Journal of Modern Physics A*, vol. 31, no. 28-29, 1645031. https://doi.org/10.1142/S0217751X16450317

}

TY - JOUR

T1 - Testing a possible way of geometrization of the strong interaction by a Kaluza-Klein star

AU - Karsai, Szilvia

AU - Pósfay, Péter

AU - Barnaföldi, G.

AU - Lukács, Béla

PY - 2016/10/20

Y1 - 2016/10/20

N2 - Geometrization of the fundamental interactions has been extensively studied during the century. The idea of introducing compactified spatial dimensions originated by Kaluza and Klein. Following their approach, several model were built representing quantum numbers (e.g. charges) as compactified space-Time dimensions. Such geometrized theoretical descriptions of the fundamental interactions might lead us to get closer to the unification of the principle theories. Here, we apply a 3 + 1C + 1 dimensional theory, which contains one extra compactified spatial dimension 1C in connection with the flavor quantum number in Quantum Chromodynamics. Within our model the size of the 1C dimension is proportional to the inverse mass-difference of the first low-mass baryon states. We used this phenomena to apply in a compact star model-a natural laboratory for testing the theory of strong interaction and the gravitational theory in parallel. Our aim is to test the modification of the measurable macroscopical parameters of a compact Kaluza-Klein star by varying the size of the compactified extra dimension. Since larger the RC the smaller the mass difference between the first spokes of the Kaluza-Klein ladder resulting smaller-mass stars. Using the Tolman-Oppenheimer-Volkov equation, we investigate the M-R diagram and the dependence of the maximum mass of compact stars. Besides testing the validity of our model we compare our results to the existing observational data of pulsar properties for constraints.

AB - Geometrization of the fundamental interactions has been extensively studied during the century. The idea of introducing compactified spatial dimensions originated by Kaluza and Klein. Following their approach, several model were built representing quantum numbers (e.g. charges) as compactified space-Time dimensions. Such geometrized theoretical descriptions of the fundamental interactions might lead us to get closer to the unification of the principle theories. Here, we apply a 3 + 1C + 1 dimensional theory, which contains one extra compactified spatial dimension 1C in connection with the flavor quantum number in Quantum Chromodynamics. Within our model the size of the 1C dimension is proportional to the inverse mass-difference of the first low-mass baryon states. We used this phenomena to apply in a compact star model-a natural laboratory for testing the theory of strong interaction and the gravitational theory in parallel. Our aim is to test the modification of the measurable macroscopical parameters of a compact Kaluza-Klein star by varying the size of the compactified extra dimension. Since larger the RC the smaller the mass difference between the first spokes of the Kaluza-Klein ladder resulting smaller-mass stars. Using the Tolman-Oppenheimer-Volkov equation, we investigate the M-R diagram and the dependence of the maximum mass of compact stars. Besides testing the validity of our model we compare our results to the existing observational data of pulsar properties for constraints.

KW - Compact star

KW - compactified extra dimensions

KW - general relativity

KW - Kaluza-Klein model

KW - neutron star

UR - http://www.scopus.com/inward/record.url?scp=84992410425&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84992410425&partnerID=8YFLogxK

U2 - 10.1142/S0217751X16450317

DO - 10.1142/S0217751X16450317

M3 - Article

VL - 31

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 28-29

M1 - 1645031

ER -