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A new look at the Plebanski-Demianski family of solutions

6 Pith papers cite this work. Polarity classification is still indexing.

6 Pith papers citing it
abstract

The Plebanski-Demianski metric, and those that can be obtained from it by taking coordinate transformations in certain limits, include the complete family of space-times of type D with an aligned electromagnetic field and a possibly non-zero cosmological constant. Starting with a new form of the line element which is better suited both for physical interpretation and for identifying different subfamilies, we review this entire family of solutions. Our metric for the expanding case explicitly includes two parameters which represent the acceleration of the sources and the twist of the repeated principal null congruences, the twist being directly related to both the angular velocity of the sources and their NUT-like properties. The non-expanding type D solutions are also identified. All special cases are derived in a simple and transparent way.

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fields

gr-qc 3 hep-th 3

years

2026 6

roles

background 1

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representative citing papers

No-go theorem for spontaneous vectorization

gr-qc · 2026-05-13 · unverdicted · novelty 8.0

A no-go theorem shows that negative effective mass squared for the vector field in vector-tensor gravity always accompanies ghost or gradient instabilities, blocking spontaneous vectorization in stationary axisymmetric black holes.

CFTs on Squashed Spheres and the Thermal Effective Action

hep-th · 2026-06-29 · unverdicted · novelty 7.0

Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.

From (Hidden) Symmetries to Stealth Solutions

gr-qc · 2026-06-05 · unverdicted · novelty 6.0

Killing-Yano tensors generate p-form stealth solutions in a bumblebee-type Proca theory with fine-tuned curvature terms on arbitrary backgrounds.

citing papers explorer

Showing 6 of 6 citing papers.

  • No-go theorem for spontaneous vectorization gr-qc · 2026-05-13 · unverdicted · none · ref 56 · internal anchor

    A no-go theorem shows that negative effective mass squared for the vector field in vector-tensor gravity always accompanies ghost or gradient instabilities, blocking spontaneous vectorization in stationary axisymmetric black holes.

  • CFTs on Squashed Spheres and the Thermal Effective Action hep-th · 2026-06-29 · unverdicted · none · ref 90 · internal anchor

    Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.

  • Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics hep-th · 2026-07-09 · conditional · none · ref 7 · internal anchor

    Angular eigenvalues of the extreme charged C-metric are computed analytically via a confluent limit of SU(2)×SU(2) quiver gauge theory, matching numerical results.

  • From (Hidden) Symmetries to Stealth Solutions gr-qc · 2026-06-05 · unverdicted · none · ref 49 · internal anchor

    Killing-Yano tensors generate p-form stealth solutions in a bumblebee-type Proca theory with fine-tuned curvature terms on arbitrary backgrounds.

  • Multihair thermodynamics of Kerr-Newman-NUT-AdS$_4$ spacetimes hep-th · 2026-06-02 · unverdicted · none · ref 36 · internal anchor

    Derives a Christodoulou-Ruffini-type squared-mass formula for Kerr-Newman-NUT-AdS4 using secondary NUT hairs J_n and N, then verifies the first law and Smarr relation by differentiation.

  • Black holes in rotating, electromagnetic backgrounds and topological Kerr-Newman-NUT spacetimes gr-qc · 2026-04-06 · unverdicted · none · ref 41

    Essentially all known analytical exact single black hole solutions in four-dimensional Einstein-Maxwell theory belong to the accelerating Kerr-Newman-NUT family placed in backgrounds that are subcases of the conjugated Kerr-Newman-NUT spacetime with arbitrary angular topology.