Active and Passive Conformal Transformations in Scalar-Tensor Gravitational Theories - INSPIRE

DataBETA

Active and Passive Conformal Transformations in Scalar-Tensor Gravitational Theories

Mar 17, 2025

20 pages

e-Print:

2503.12826 [gr-qc]

View in:

ADS Abstract Service

reference search0 citations

Citations per year

0 Citations

Abstract: (arXiv)

Through considering the conformal transformations as coordinate transformations in some abstract space of fields, where the different fields are assumed as ``generalized coordinates,'' we introduce the notion of active and passive conformal transformations. We then apply both complementary approaches to the conformal frames issue, arising in the context of scalar-tensor gravity theories, in order to get better understanding of the problem. Special focus is on the coupling of matter fields to gravity. The recent result that the Lagrangian density of fundamental matter fields and perfect fluids is not only conformal invariant but also conformal form-invariant is discussed within the context of the conformal frames issue.

Note:

20 pages 1 figure

References(95)

Figures(2)

[1]

Mach's principle and invariance under transformation of units

R.H. Dicke
(
- Princeton U.
)

- Phys.Rev. 125 (1962) 2163-2167
•
DOI:
- 10.1103/PhysRev.125.2163

[2]

Brans-dicke theory under transformation of units and its relation to the jordan theories

R.E. Morganstern
(
- Rice U.
)

- Phys.Rev.D 1 (1970) 2969-2971
•
DOI:
- 10.1103/PhysRevD.1.2969

[3]

Scale invariance of the second kind and the brans-dicke scalar-tensor theory

J.L. Anderson
(
- Stevens Tech.
)

- Phys.Rev.D 3 (1971) 1689-1691
•
DOI:
- 10.1103/PhysRevD.3.1689

[4]

Conformal Invariance, Microscopic Physics, and the Nature of Gravitation

- Phys.Rev.D 22 (1980) 1313
•
DOI:
- 10.1103/PhysRevD.22.1313

[5]

The Relation between physical and gravitational geometry

Jacob D. Bekenstein
(
- UC, Santa Barbara and
- Hebrew U.
)

- Phys.Rev.D 48 (1993) 3641-3647
•
e-Print:
- gr-qc/9211017
•
DOI:
- 10.1103/PhysRevD.48.3641

[6]

Conformal transformations single out a unique measure of distance

S. Cotsakis
(
- Aegean U.
)

- Phys.Rev.D 47 (1993) 1437-1439
•
DOI:
- 10.1103/PhysRevD.47.1437

[7]

On physical equivalence between nonlinear gravity theories and a general relativistic selfgravitating scalar field

Guido Magnano
(
- Turin U.
)
,
Leszek M. Sokolowski
(
- Turin U.
)

- Phys.Rev.D 50 (1994) 5039-5059
•
e-Print:
- gr-qc/9312008
•
DOI:
- 10.1103/PhysRevD.50.5039

[8]

Some aspects of the cosmological conformal equivalence between 'Jordan frame' and 'Einstein frame'

S. Capozziello
(
- Naples U. and
- INFN, Naples
)
,
R. de Ritis
(
- Naples U. and
- INFN, Naples
)
,
Alma Angela Marino
(
- Naples U. and
- INFN, Naples
)

- Class.Quant.Grav. 14 (1997) 3243-3258
•
e-Print:
- gr-qc/9612053
•
DOI:
- 10.1088/0264-9381/14/12/010

[9]

Singularities in scalar tensor cosmologies

Nemanja Kaloper
(
- Waterloo U.
)
,
Keith A. Olive
(
- Minnesota U.
)

- Phys.Rev.D 57 (1998) 811-822
•
e-Print:
- hep-th/9708008
•
DOI:
- 10.1103/PhysRevD.57.811

[10]

Conformal transformations in classical gravitational theories and in cosmology

Valerio Faraoni
(
- Brussels U.
)
,
Edgard Gunzig
(
- Brussels U. and
- Intl. Solvay Inst., Brussels
)
,
Pasquale Nardone
(
- Brussels U.
)

- Fund.Cosmic Phys. 20 (1999) 121
•
e-Print:
- gr-qc/9811047

[11]

Einstein frame or Jordan frame?

V. Faraoni
(
- IUCAA, Pune and
- Brussels U. and
- Intl. Solvay Inst., Brussels
)
,
E. Gunzig
(
- IUCAA, Pune and
- Brussels U. and
- Intl. Solvay Inst., Brussels
)

- Int.J.Theor.Phys. 38 (1999) 217-225
•
e-Print:
- astro-ph/9910176
•
DOI:
- 10.1023/A:1026645510351

[12]

Dual geometries and space-time singularities

Israel Quiros
(
- Havana, Central de Las Villas U.
)

- Phys.Rev.D 61 (2000) 124026
•
e-Print:
- gr-qc/9905071
•
DOI:
- 10.1103/PhysRevD.61.124026

[13]

Gravitational waves and the conformal transformation

J.C. Fabris
(
- Espirito Santo U.
)
,
R. de Sa Ribeiro
(
- Espirito Santo U.
)

- Gen.Rel.Grav. 32 (2000) 2141-2158
•
DOI:
- 10.1023/A:1001998419345

[14]

On boundary terms and conformal transformations in curved space-times

R. Casadio
(
- Bologna U. and
- INFN, Bologna
)
,
A. Gruppuso
(
- Bologna U. and
- INFN, Bologna
)

- Int.J.Mod.Phys.D 11 (2002) 703-714
•
e-Print:
- gr-qc/0107077
•
DOI:
- 10.1142/S0218271802001913

[15]

Are the string and Einstein frames equivalent

- Mod.Phys.Lett.A 17 (2002) 413-420
•
e-Print:
- gr-qc/0111031
•
DOI:
- 10.1142/S0217732302006606

[16]

The Conformal frame freedom in theories of gravitation

Eanna E. Flanagan
(
- Cornell U., Radio. Space Res. Ctr.
)

- Class.Quant.Grav. 21 (2004) 3817
•
e-Print:
- gr-qc/0403063
•
DOI:
- 10.1088/0264-9381/21/15/N02

[17]

Brans-Dicke theory: Jordan versus Einstein frame

- Mod.Phys.Lett.A 22 (2007) 367-376
•
e-Print:
- gr-qc/0605109
•
DOI:
- 10.1142/S021773230702261X

[18]

Phantom field from conformal invariance

Mokhtar Hassaine
(
- Talca U. and
- CECS, Valdivia
)

- Mod.Phys.Lett.A 22 (2007) 307-316
•
e-Print:
- hep-th/0511278
•
DOI:
- 10.1142/S0217732307021093

[19]

Conformal transformation in the scalar-tensor theory applied to the accelerating universe

Yasunori Fujii
(
- Waseda U., RISE
)

- Prog.Theor.Phys. 118 (2007) 983-1018
•
e-Print:
- 0712.1881
•
DOI:
- 10.1143/PTP.118.983

[20]

The (pseudo)issue of the conformal frame revisited

- Phys.Rev.D 75 (2007) 023501
•
e-Print:
- gr-qc/0612075
•
DOI:
- 10.1103/PhysRevD.75.023501

[21]

Einstein and Jordan reconciled: a frame-invariant approach to scalar-tensor cosmology

Riccardo Catena
(
- Desy
)
,
Massimo Pietroni
(
- INFN, Padua
)
,
Luca Scarabello
(
- Padua U. and
- INFN, Padua
)

- Phys.Rev.D 76 (2007) 084039
•
e-Print:
- astro-ph/0604492
•
DOI:
- 10.1103/PhysRevD.76.084039

[22]

Theory of gravitation theories: A No-progress report

Thomas P Sotiriou
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Valerio Faraoni
(
- Bishop's U., Sherbrooke
)
,
Stefano Liberati
(
- SISSA, Trieste and
- INFN, Trieste
)

- Int.J.Mod.Phys.D 17 (2008) 399-423
•
e-Print:
- 0707.2748
•
DOI:
- 10.1142/S0218271808012097

[23]

Conformal Transformations in Cosmology of Modified Gravity: The Covariant Approach Perspective

Sante Carloni
(
- Barcelona, IEEC
)
,
Emilio Elizalde
(
- ICE, Bellaterra and
- Barcelona, IEEC
)
,
Sergei Odintsov
(
- ICREA, Barcelona and
- ICE, Bellaterra
)

- Gen.Rel.Grav. 42 (2010) 1667-1705
•
e-Print:
- 0907.3941
•
DOI:
- 10.1007/s10714-010-0936-1

[24]

Conformal equivalence in classical gravity: the example of 'Veiled' General Relativity

- Springer Proc.Phys. 137 (2011) 247-260
•
e-Print:
- 1007.3563
•
DOI:
- 10.1007/978-3-642-19760-4_23

[25]

Conformal-Frame (In)dependence of Cosmological Observations in Scalar-Tensor Theory

- JCAP 10 (2013) 040
•
e-Print:
- 1308.1142
•
DOI:
- 10.1088/1475-7516/2013/10/040

1-25 of 95
1
2
3
4
25 / page