Gravitational wave solutions of quadratic curvature gravity using a null coframe formulation

Quadratic curvature gravity equations are projected to a complex null coframe by using the algebra of exterior forms and expressed in terms of the spinor quantities defined originally by Newman and Penrose. As an application, a new family of impulsive gravitational wave solutions propagating in various Petrov type D backgrounds is introduced.

Note:

Title rephrased, minor changes in the text. Conclusion expanded and new references added

gravitational radiation
gravitation: model
algebra
spinor

References(68)

Figures(0)

[1]

A deep sample of new pulsars and their spatial extent in the galaxy

R.A. Hulse
,
J.H. Taylor

- Astrophys.J. 159 (1975) L51-L59

[2]

Gravitational Wave Detection by Interferometry (Ground and Space)

- Living Rev.Rel. 14 (2011) 5
•
e-Print:
- 1102.3355
•
DOI:
- 10.12942/lrr-2011-5

[2]

Gravitational Wave Detection by Interferometry (Ground and Space)

- Living Rev.Rel. 14 (2011) 5
•
e-Print:
- 1102.3355
•
DOI:
- 10.12942/lrr-2011-5

[3]

An Approach to gravitational radiation by a method of spin coefficients

Ezra Newman
(
- Pennsylvania U.
)
,
Roger Penrose
(
- Syracuse U.
)

- J.Math.Phys. 3 (1962) 566-578
•
DOI:
- 10.1063/1.1724257

[3]

Errata: An approach to gravitational radiation by a method of spin coefficient

E.T. Newman
,
R. Penrose

- J.Math.Phys. 4 (1963) 998

[4]

Exact solutions of Einstein's field equations

H. Stephani
,
D. Kramer
,
M. MacCallum
,
C. Hoenselaers
,
E. Herlt

[5]

Exact Spacetimes in Einsteins General Relativity, (Cambridge University Press, Cambridge,), p. 95

J. Griffiths
,
J. Podolsk

[6]

Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times

R.K. Sachs

- Proc.Roy.Soc.Lond.A 270 (1962) 103-126
•
DOI:
- 10.1098/rspa.1962.0206

[7]

A Perturbative solution for gravitational waves in quadratic gravity

Edgard C. de Rey Neto
(
- Sao Jose, INPE
)
,
Odylio D. Aguiar
(
- Sao Jose, INPE
)
,
Jose C.N. de Araujo
(
- Sao Jose, INPE
)

- Class.Quant.Grav. 20 (2003) 2025-2031
•
e-Print:
- gr-qc/0304091
•
DOI:
- 10.1088/0264-9381/20/11/305

[8]

Einstein spaces which are mapped conformally on each other

H.W. Brinkmann

- Math.Ann. 18 (1925) 119-145

[9]

An Introduction to Current Research, L. Witten (eds.) (John & Sons Inc., New York,) pp. 49101

J. Ehlers
,
W. Kundt

[10]

The mathematical theory of black holes

Subrahmanyan Chandrasekhar
(
- Chicago U., EFI
)

- Oxford, UK: Clarendon (1992) 646 p.,
- OXFORD, UK: CLARENDON (1985) 646 P.

[11]

The plane fronted gravitational waves

W. Kundt

- Z.Phys. 163 (1961) 77-86

[12]

Type-n gravitational field with twist

I. Hauser
(
- IIT, Chicago
)

- Phys.Rev.Lett. 33 (1974) 1112-1113
•
DOI:
- 10.1103/PhysRevLett.33.1112

[13]

Twisting type N vacuum fields with a group H(2)

F.J. Chinea
(
- Madrid U.
)
,
F. Navarro-Lerida
(
- Madrid U.
)

- Class.Quant.Grav. 17 (2000) 4587-4596
•
e-Print:
- gr-qc/0010026
•
DOI:
- 10.1088/0264-9381/17/21/314

[14]

A Simple quantum channel having superadditivity of channel capacity

Masahide Sasaki
(
- Communications Res. Lab., Tokyo
)
,
Kentaro Kato
(
- Tamagawa U.
)
,
Masayuki Izutsu
(
- Communications Res. Lab., Tokyo
)
,
Osamu Hirota
(
- Tamagawa U.
)

- Phys.Lett.A 236 (1997) 1
•
e-Print:
- quant-ph/9705043
•
DOI:
- 10.1016/S0375-9601(97)00740-8

[15]

Shock wave geometry with nonvanishing cosmological constant

M. Hotta
(
- Tohoku U.
)
,
M. Tanaka
(
- Tohoku U.
)

- Class.Quant.Grav. 10 (1993) 307-314
•
DOI:
- 10.1088/0264-9381/10/2/012

[16]

Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant

- Phys.Lett.A 261 (1999) 1-4
•
e-Print:
- gr-qc/9908008
•
DOI:
- 10.1016/S0375-9601(99)00524-1

[17]

Impulsive waves in electrovac direct product space-times with Lambda

Marcello Ortaggio
(
- Trento U. and
- INFN, Trento
)
,
Jiri Podolsky
(
- Charles U., Inst. Theor. Phys.
)

- Class.Quant.Grav. 19 (2002) 5221-5227
•
e-Print:
- gr-qc/0209068
•
DOI:
- 10.1088/0264-9381/19/20/313

[17]

Impulsive spherical gravitational waves

A.N. Aliev
(
- Feza Gursey Inst.
)
,
Y. Nutku
(
- Feza Gursey Inst.
)

- Class.Quant.Grav. 18 (2001) 891-906
•
e-Print:
- gr-qc/0011016
•
DOI:
- 10.1088/0264-9381/18/5/308

[18]

Impulsive waves in the Nariai universe

Marcello Ortaggio
(
- Trento U. and
- INFN, Trento
)

- Phys.Rev.D 65 (2002) 084046
•
e-Print:
- gr-qc/0110126
•
DOI:
- 10.1103/PhysRevD.65.084046

[18]

Gravitation: Following the Prague Inspiration. A Volume in Celebration of the 60th Birthday of J. Bik Eds O. Semerek, J. Podolsk, M. ofka Singapore,), p. 205

J. Podolsk

[19]

Explicit Kundt type II and N solutions as gravitational waves in various type D and 0 universes

Jiri Podolsky
(
- Charles U., Inst. Theor. Phys.
)
,
Marcello Ortaggio
(
- Trento U. and
- INFN, Trento
)

- Class.Quant.Grav. 20 (2003) 1685-1701
•
e-Print:
- gr-qc/0212073
•
DOI:
- 10.1088/0264-9381/20/9/307

[20]

Exact solutions of closed string theory

Arkady A. Tseytlin
(
- Imperial Coll., London
)

- Class.Quant.Grav. 12 (1995) 2365-2410
•
e-Print:
- hep-th/9505052
•
DOI:
- 10.1088/0264-9381/12/10/003

[21]

Common solutions of the Einstein and -Dicke theories

B.O.J. Tupper

- Int.J.Theor.Phys. 11 (1974) 353356

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