A spacetime dual to the NUT spacetime

Nouri-Zonoz, M.; Dadhich, Naresh; Lynden-Bell, D.

doi:10.1088/0264-9381/16/3/028

Cited by 33 publications

(47 citation statements)

References 9 publications

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“…It turns out that the dual solution represents the Schwarzschild black hole with a global monopole charge [6]. Similarly it is possible to find solutions dual to the Kerr and NUT solutions [7][8]. The duality transformation would thus generate global monopole charge for vacuum (including electrovac) solutions in spherical and axial symmetries.…”

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confidence: 99%

On Electrogravity Duality

Dadhich

1999

Mod. Phys. Lett. A

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By resolving the gravitational field into electric and magnetic parts, we define an electrogravity duality transformation and discover an interesting property of the field. Under the duality transformation a vacuum/flat spacetime maps into the original spacetime with a topological defect of global monopole/texture. The elctrogravity-duality is thus a topological defect generating process. It turns out that all black hole solutions possess dual solutions that imbibe a global monopole.

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confidence: 99%

On Electrogravity Duality

Dadhich

1999

Mod. Phys. Lett. A

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“…To summarize, the above procedure for obtaining solutions dual to any known spacetime solution would work as long as there occurs a free equation in the field equations (2.8) that is not used in finding that solution. Note that this holds for all solutions in the family of charged Kerr black holes [11,12] as well as for the NUT solution [13]. Then the dual set admits a solution similar to the original one, but with a topological defect, namely, global monopole charge.…”

Section: Global Monopolementioning

confidence: 77%

Erratum to: “The electrogravity transformation and global monopoles in scalar-tensor gravity”

Bose¹,

Dadhich²

2000

Physics Letters B

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The electrogravity transformation is defined by an interchange of the "active" and "passive" electric parts of the Riemann tensor. Such a transformation has been used to find new solutions that are "dual" to the Kerr family of black hole spacetimes in general relativity. In such a case, the dual solution is a similar black hole spacetime endowed with a global monopole charge. Here, we extend this formalism to obtain solutions dual to the static, spherically symmetric solutions of two different scalar-tensor gravity theories. In particular, we first study the duals of the charged black hole solutions of a four-dimensional low-energy effective action of heterotic string theory. Next, we study dual of the Xanthopoulos-Zannias solution in Brans-Dicke theory, which contains a naked singularity. We show that, analogous to general relativity, in these scalar-tensor gravity theories the dual solutions are similar to the original spacetimes, but with a global monopole charge.

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“…This happens because, while obtaining vacuum solutions there remains one equation free in the sense it is implied by the others. 4 Then the equation will admit the same vacuum solutions but under the duality transformation (5), the dual equation will now be different and would admit different dual solutions, 4,8,9 describing black hole with a global monopole charge 10 (or a cloud of string dust 11 ).…”

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On Gravito-Electromagnetic Duality in General Relativity

Dadhich

1999

Mod. Phys. Lett. A

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In analogy with the electromagnetic theory, we resolve the Riemann curvature into electric and magnetic parts and consider the analogous duality transformation which keeps the Einstein action for vacuum invariant. It is remarkable that the duality symmetry of the action also leads to the vacuum field equation without cosmological constant. Further invariance of the vacuum equation and the action under the gravito-electric duality require gravitational constant to change sign.A physical field is always produced by a source, which is termed as its charge. Manifestation of field when charges are at rest is called electric, and magnetic when they are in motion. The Maxwell theory of electromagnetism examplifies this general feature and from which the terms electric and magnetic are derived. This decomposition can however be adopted in general without reference to the Maxwell theory. Resolution into electric and magnetic parts should give a deeper insight and understanding of the field and its dynamics. It is therefore pertinent to consider electromagnetic decomposition of gravitational field. We shall thus resolve the Riemann curvature of space-time describing gravitational field into electric and magnetic parts. Electromagnetic decomposition of the Weyl (free part of field) and Riemann curvatures has a long history and has been considered by several authors (see for example Refs. 1 and 2). However most of the considerations and applications refer to the Weyl decomposition.There is a richer structure for gravitation in terms of electromagnetic parts. It would be interesting to consider some duality relations, similar to the electromagnetic theory, involving electromagnetic parts. Since there are two kinds of charges for gravitation, one the usual non-gravitational matter/energy and the other gravitational field energy. The former would give rise to analogue of Newtonian while the latter to relativistic field. Hence there would be two different kinds of electric parts, which we shall term as active (Newtonian) and passive (relativistic). The electric parts would be given by symmetric second-rank tensors orthogonal to * E-mail: nkd@iucaa.ernet.in 759 Mod. Phys. Lett. A 1999.14:759-763. Downloaded from www.worldscientific.com by UNIVERSITY OF CALIFORNIA @ DAVIS on 02/04/15. For personal use only.

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A spacetime dual to the NUT spacetime

Cited by 33 publications

References 9 publications

On Electrogravity Duality

On Electrogravity Duality

Erratum to: “The electrogravity transformation and global monopoles in scalar-tensor gravity”

On Gravito-Electromagnetic Duality in General Relativity

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