Black holes coupled to scalar fields in higher-dimensional Kaluza-Klein theory

Using the formal equivalences between Kaluza–Klein gravity, Brans–Dicke theory and general relativity coupled to a massless scalar field, exact solutions obtained in one theory will correspond to analogous solutions in the other two theories. Often exact solutions in one theory are "rediscovered" since theory are not recognized as analogs of the corresponding solutions in one of the other theories. We review here a number of exact solutions in each of the theories, with an emphasis on identifying and presenting the higher-dimensional version of the solutions. We also briefly comment upon the formal equivalence between Kaluza–Klein theory and scalar–tensor theories in general.

Download Full-text

X-ray reflection spectroscopy with Kaluza–Klein black holes

The European Physical Journal C ◽

10.1140/epjc/s10052-020-8198-x ◽

2020 ◽

Vol 80 (7) ◽

Cited By ~ 3

Author(s):

Jiachen Zhu ◽

Askar B. Abdikamalov ◽

Dimitry Ayzenberg ◽

Mustapha Azreg-Aïnou ◽

Cosimo Bambi ◽

...

Keyword(s):

Black Holes ◽

Black Hole ◽

Alternative Theory ◽

Disk System ◽

X Ray ◽

Black Hole Accretion ◽

Klein Theory ◽

Black Hole Accretion Disk ◽

Hole Accretion ◽

Kaluza Klein

Abstract Kaluza–Klein theory is a popular alternative theory of gravity, with both non-rotating and rotating black hole solutions known. This allows for the possibility that the theory could be observationally tested. We present a model which calculates the reflection spectrum of a black hole accretion disk system, where the black hole is described by a rotating solution of the Kaluza–Klein theory. We also use this model to analyze X-ray data from the stella-mass black hole in GRS 1915+105 and provide constraints on the free parameters of the Kaluza–Klein black holes.

Download Full-text

MASSLESS SCALAR FIELDS IN NON-ABELIAN KALUZA-KLEIN THEORY

International Journal of Modern Physics A ◽

10.1142/s0217751x94000248 ◽

1994 ◽

Vol 09 (04) ◽

pp. 507-515 ◽

Cited By ~ 1

Author(s):

M. ARIK ◽

V. GABAY

Keyword(s):

Cosmological Constant ◽

Direct Product ◽

Scalar Fields ◽

Gauge Fields ◽

Internal Space ◽

Massless Scalar ◽

Klein Theory ◽

Euler Form ◽

Odd Dimensions ◽

Kaluza Klein

We investigate the presence of massless scalar fields in a Kaluza—Klein theory based on a dimensionally continued Euler-form action. We show that massless scalar fields exist provided that the internal space is a direct product of two irreducible manifolds. The condition of a vanishing effective four-dimensional cosmological constant and the presence of a graviton, gauge fields and massless scalar fields can be satisfied if both irreducible manifolds have odd dimensions and the sum of these dimensions is equal to the dimension of the Euler form.

Download Full-text

MULTIDIMENSIONAL GEOMETRICAL MODEL OF THE RENORMALIZED ELECTRICAL CHARGE WITH SPLITTING OFF THE EXTRA COORDINATES

Modern Physics Letters A ◽

10.1142/s021773239800231x ◽

1998 ◽

Vol 13 (27) ◽

pp. 2179-2185 ◽

Cited By ~ 20

Author(s):

V. D. DZHUNUSHALIEV

Keyword(s):

Black Holes ◽

Electric Charge ◽

Geometrical Model ◽

Electrical Charge ◽

Wormhole Solution ◽

Flux Lines ◽

Klein Theory ◽

Real Relation ◽

Null Surfaces ◽

Kaluza Klein

A geometrical model of electric charge is proposed. This model has "naked" charge screened with a "fur-coat" consisting of virtual wormholes. The 5-D wormhole solution in the Kaluza–Klein theory is the "naked" charge. The splitting off of the 5-D happens on the two spheres (null surfaces) bonding this 5-D wormhole. This allows one to sew two Reissner–Nordström black holes onto it on both sides. The virtual wormholes entrap a part of the electrical flux lines coming into the "naked" charge. This effect essentially changes the charge visible at infinity so that it satisfies the real relation m2<e2.

Download Full-text

A Kaluza–Klein subtractor

Modern Physics Letters A ◽

10.1142/s0217732314500795 ◽

2014 ◽

Vol 29 (16) ◽

pp. 1450079 ◽

Cited By ~ 1

Author(s):

Sanjib Jana ◽

Chethan Krishnan

Keyword(s):

Black Holes ◽

Exact Solutions ◽

Equations Of Motion ◽

Specific Class ◽

Attraction Basin ◽

Rotating Black Holes ◽

Klein Theory ◽

Attraction Basins ◽

Extremal Black Holes ◽

Kaluza Klein

We generalize the results of arXiv:1212.1875 and arXiv:1212.6919 on attraction basins and their boundaries to the case of a specific class of rotating black holes, namely the ergo-free branch of extremal black holes in Kaluza–Klein theory. We find that exact solutions that span the attraction basin can be found even in the rotating case by appealing to certain symmetries of the equations of motion. They are characterized by two asymptotic parameters that generalize those of the non-rotating case, and the boundaries of the basin are spinning versions of the (generalized) subtractor geometry. We also give examples to illustrate that the shape of the attraction basin can drastically change depending on the theory.

Download Full-text

A DISCRETIZED VERSION OF KALUZA–KLEIN THEORY WITH TORSION AND MASSIVE FIELDS

International Journal of Modern Physics A ◽

10.1142/s0217751x96001206 ◽

1996 ◽

Vol 11 (13) ◽

pp. 2403-2418 ◽

Cited By ~ 7

Author(s):

NGUYEN AI VIET ◽

KAMESHWAR C. WALI

Keyword(s):

Noncommutative Geometry ◽

Vector Fields ◽

Complex Structure ◽

Scalar Fields ◽

Type Model ◽

Internal Space ◽

Tensor Fields ◽

Fifth Dimension ◽

Klein Theory ◽

Kaluza Klein

We consider an internal space of two discrete points in the fifth dimension of the Kaluza–Klein theory by using the formalism of noncommutative geometry — developed in a previous paper1 — of a spacetime supplemented by two discrete points. With the non-vanishing internal torsion two-form there are no constraints implied on the vielbeins. The theory contains a pair of tensor fields, a pair of vector fields and a pair of scalar fields. Using the generalized Cartan structure equation we are able to uniquely determine not only the Hermitian and metric-compatible connection one-forms, but also the nonvanishing internal torsion two-form in terms of vielbeins. The resulting action has a rich and complex structure, a particular feature being the existence of massive modes. Thus the nonvanishing internal torsion generates a Kaluza–Klein type model with zero and massive modes.

Download Full-text