On nonlinear multidimensional gravity and the Casimir effect

Bolokhov, S.V.; Bronnikov, K.A.

doi:10.1134/S0202289316040034

On nonlinear multidimensional gravity and the Casimir effect

Nov 15, 2016

6 pages

Published in:

Grav.Cosmol. 22 (2016) 4, 323-328

Published: Nov 15, 2016

DOI:

10.1134/S0202289316040034

View in:

AMS MathSciNet

reference search4 citations

Citations per year

Abstract: (Springer)

We study the properties of an effective potential for the scale factor of extra dimensions in a Kaluza-Klein-type model with a spherical extra factor space, including a function of the scalar curvature and other quadratic curvature invariants, taking into account the Casimir energy of massless scalar fields. We demonstrate the existence of a minimum of the potential, able to induce a physically reasonable value of the effective cosmological constant in our space-time. Under the adopted assumptions, it is shown that the huge Casimir energy density can be compensated by the fine-tuned contribution of the curvature-nonlinear terms in the original action.

any-dimensional
energy: Casimir
curvature: scalar
effect: Casimir
gravitation: model
gravitation: higher-dimensional
Kaluza-Klein
gravitation: f(R)
energy: density
cosmological constant

References(22)

Figures(0)

[1]

Sitzungsber. Preuss. Akad. Wiss. Phys. Math. Klasse 966

T. Kaluza

[2]

KALUZA-KLEIN THEORIES

D. Bailin
(
- Sussex U.
)
,
A. Love
(
- Royal Holloway, U. of London
)

- Rept.Prog.Phys. 50 (1987) 1087-1170,
- Rep. Prog. Phys. 50 ( 1987) 1087-1170
•
DOI:
- 10.1088/0034-4885/50/9/001

[3]

Superstring theory. Vols. 1 and 2 Cambridge Univ. Press New York 0619.53002

M.B. Green J. Schwarz E. Witten

[4]

Gravitation and Gauge Symmetries Publishing Bristol 0980.83002

M. Blagojevic

•
DOI:
- 10.1887/0750307676

[5]

A Large mass hierarchy from a small extra dimension

Lisa Randall
(
- Princeton U. and
- MIT
)
,
Raman Sundrum
(
- Boston U.
)

- Phys.Rev.Lett. 83 (1999) 3370-3373
•
e-Print:
- hep-ph/9905221
•
DOI:
- 10.1103/PhysRevLett.83.3370

[6]

hRvL..83.4690R L. Randall and R. Sundrum

L. Randall R. Sundrum

- Phys.Rev.Lett. 83 (1999) 3690

[7]

The Hierarchy problem and new dimensions at a millimeter

Nima Arkani-Hamed
(
- SLAC
)
,
Savas Dimopoulos
(
- Stanford U., Phys. Dept.
)
,
G.R. Dvali
(
- ICTP, Trieste
)

- Phys.Lett.B 429 (1998) 263-272
•
e-Print:
- hep-ph/9803315
•
DOI:
- 10.1016/S0370-2693(98)00466-3

[8]

The mechanism of generating fermion masses in the 8-dimensional geometric theory

Yu.S. Vladimirov
(
- Moscow State U.
)
,
S.V. Bolokhov
(
- Moscow State U.
)

- Gen.Rel.Grav. 37 (2005) 2227-2238
•
DOI:
- 10.1007/s10714-005-0184-y

[9]

Extra dimensions as a source of the electroweak model

- Phys.Rev.D 84 (2011) 044015
•
e-Print:
- 1011.2828
•
DOI:
- 10.1103/PhysRevD.84.044015

[10]

Centenary of Einstein’s general relativity. Its present extensions

V.N. Melnikov

- Grav.Cosmol. 22 (2016) 2, 80-96
•
DOI:
- 10.1134/S0202289316020092

[11]

Variations of $\alpha$ and $G$ from nonlinear multidimensional gravity

- Grav.Cosmol. 19 (2013) 114-123
•
e-Print:
- 1312.7721
•
DOI:
- 10.1134/S0202289313020035

[12]

Calculation of Gauge Couplings and Compact Circumferences from Selfconsistent Dimensional Reduction

Philip Candelas
(
- Texas U.
)
,
Steven Weinberg
(
- Texas U.
)

- Nucl.Phys.B 237 (1984) 397,
- IN *APPELQUIST, T. (ED.) ET AL.: MODERN KALUZA-KLEIN THEORIES*, 375-419. (NUCL. PHYS. B237 (1984) 397) AND TEXAS UNIV. AUSTIN - UTTG-83-06 (83,REC.JUN.) 31 P. TEXAS UNIV. AUSTIN - UTTG-83-06A (83,REC.JUL.) 6 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(84)90001-4