A Newman-Penrose Calculator for Instanton Metrics - INSPIRE

DataBETA

A Newman-Penrose Calculator for Instanton Metrics

T. Birkandan
(
- Istanbul, Tech. U.
)

Nov, 2007

19 pages

Published in:

Int.J.Mod.Phys.C 19 (2008) 1277

e-Print:

0711.0613 [gr-qc]

DOI:

10.1142/S0129183108012807

View in:

reference search3 citations

Citations per year

Abstract: (arXiv)

We present a Maple11+GRTensorII based symbolic calculator for instanton metrics using Newman-Penrose formalism. Gravitational instantons are exact solutions of Einstein's vacuum field equations with Euclidean signature. The Newman-Penrose formalism, which supplies a toolbox for studying the exact solutions of Einstein's field equations, was adopted to the instanton case and our code translates it for the computational use.

Note:

13 pages. Matches the published version. The web page of the codes is changed as https://github.com/tbirkandan/NPInstanton

04.62.+v
04
Gravitational instantons
Newman-Penrose formalism
symbolic computation

References(29)

Figures(0)

- Fields Inst.Commun. 15 313

- Comput.Phys.Commun. 105 233

- Comput.Phys.Commun. 126 260

- Comput.Phys.Commun. 93 265

Properties of the instantaneous Ergo surface of a Kerr black hole

Nicos Pelavas
(
- Queen's U., Kingston
)
,
Nicholas Neary
(
- Queen's U., Kingston
)
,
Kayll Lake
(
- Queen's U., Kingston
)

- Class.Quant.Grav. 18 (2001) 1319-1332
•
e-Print:
- gr-qc/0012052
•
DOI:
- 10.1088/0264-9381/18/7/314

Exact solutions with w modes

Mustapha Ishak
(
- Queen's U., Kingston
)
,
Luke Chamandy
(
- Queen's U., Kingston
)
,
Kayll Lake
(
- Queen's U., Kingston
)

- Phys.Rev.D 64 (2001) 024005
•
e-Print:
- gr-qc/0007073
•
DOI:
- 10.1103/PhysRevD.64.024005

Invariants of the Riemann tensor for class B warped product space-times

Kevin Santosuosso
(
- Queen's U., Kingston
)
,
Denis Pollney
(
- Southampton U.
)
,
Nicos Pelavas
(
- Queen's U., Kingston
)
,
Peter Musgrave
(
- West End Systems Corp., Ontario
)
,
Kayll Lake
(
- Queen's U., Kingston
)

- Comput.Phys.Commun. 115 (1998) 381-394
•
e-Print:
- gr-qc/9809012
•
DOI:
- 10.1016/S0010-4655(98)00134-9

Physical acceptability of isolated, static, spherically symmetric, perfect fluid solutions of Einstein's equations

- Comput.Phys.Commun. 115 (1998) 395-415
•
e-Print:
- gr-qc/9809013
•
DOI:
- 10.1016/S0010-4655(98)00130-1

- Comput.Phys.Commun. 154 205

Junctions and thin shells in general relativity using computer algebra: II. The null formalism

- Class.Quant.Grav. 14 (1997) 5, 1285-1294
•
DOI:
- 10.1088/0264-9381/14/5/029

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

- J.Math.Phys. 4 998

A Newman-Penrose formalism for gravitational instantons

E. Goldblatt
(
- New York U.
)

- Gen.Rel.Grav. 26 (1994) 979-997
•
DOI:
- 10.1007/BF02106666

Symmetries of type D+ D- gravitational instantons

E. Goldblatt
(
- New York U.
)

- J.Math.Phys. 35 (1994) 3029-3042
•
DOI:
- 10.1063/1.530502

Gravitational instantons admit hyper-Kaehler structure

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

- Class.Quant.Grav. 16 (1999) 189-210
•
e-Print:
- gr-qc/9805006
•
DOI:
- 10.1088/0264-9381/16/1/013

The Hidden Symmetries of Multicenter Metrics

G.W. Gibbons
(
- Ecole Normale Superieure and
- Meudon Observ.
)
,
P.J. Ruback
(
- Ecole Normale Superieure and
- Meudon Observ.
)

- Commun.Math.Phys. 115 (1988) 267
•
DOI:
- 10.1007/BF01466773

Gravitation, Gauge Theories and Differential Geometry

Tohru Eguchi
(
- SLAC and
- Chicago U., EFI and
- Chicago U.
)
,
Peter B. Gilkey
(
- Princeton U., Math. Dept.
)
,
Andrew J. Hanson
(
- LBL, Berkeley and
- NASA, Ames
)

- Phys.Rept. 66 (1980) 213
•
DOI:
- 10.1016/0370-1573(80)90130-1

Dirac equation in Euclidean Newman-Penrose formalism with applications to instanton metrics

Y. Sucu
(
- Akdeniz U.
)
,
N. Unal
(
- Akdeniz U.
)

- Class.Quant.Grav. 21 (2004) 1443-1451
•
DOI:
- 10.1088/0264-9381/21/6/011

Low-temperature asymptotics of integrable systems in an external field

Michael Bortz

- J.Phys.A 40 (2007) 1
•
e-Print:
- cond-mat/0610409
•
DOI:
- 10.1088/1751-8113/40/1/001

Dirac Equation in the Background of the Nutku Helicoid Metric

T. Birkandan
(
- Istanbul, Tech. U.
)
,
M. Hortacsu
(
- Istanbul, Tech. U.
)

- J.Math.Phys. 48 (2007) 092301
•
e-Print:
- 0706.2543
•
DOI:
- 10.1063/1.2785124

GRAVITATIONAL INSTANTONS IN H SPACES

S. Hacian
(
- Meudon Observ.
)

- Phys.Lett.A 75 (1979) 23-24
•
DOI:
- 10.1016/0375-9601(79)90263-9

Classification of Euclidean Metrics

Anders Karlhede
(
- Stockholm U.
)

- Class.Quant.Grav. 3 (1986) L1
•
DOI:
- 10.1088/0264-9381/3/1/001

Spectral asymmetry and Riemannian Geometry 1

M.F. Atiyah
(
- Oxford U. and
- Tata Inst. and
- MIT
)
,
V.K. Patodi
(
- Oxford U. and
- Tata Inst. and
- MIT
)
,
I.M. Singer
(
- Oxford U. and
- Tata Inst. and
- MIT
)

- Math.Proc.Cambridge Phil.Soc. 77 (1975) 43
•
DOI:
- 10.1017/S0305004100049410

- Math.Proc.Cambridge Phil.Soc. 77 405

- Nucl.Phys.B 17 530

1-25 of 29
1
2
25 / page