Note on the asymptotic structure of Kerr-Schild form

Mao, Pujian; Zhao, Weicheng

doi:10.48550/arxiv.2109.09676

Cited by 2 publications

(2 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For certain scenarios such as Kerr-Schild (KS) spacetimes the linearized examples we have discussed should suffice. In fact, [78,79] have argued that the Kerr-Schild double copy structure [101,102,[110][111][112][113][114][115][116][117] follows from the Penrose transform. Due to this, it can be readily checked that our formula (13) links the KS double copy directly to the double copy between gauge and gravity massive amplitudes of [46], also developed in [47,105,106,[118][119][120][121][122][123][124][125][126][127].…”

Section: Open Questionsmentioning

confidence: 99%

Reconstructing Classical Spacetimes from the S-Matrix in Twistor Space

Guevara¹

2021

Preprint

View full text Add to dashboard Cite

We present a holographic construction of solutions to the gravitational wave equation starting from QFT scattering amplitudes. The construction amounts to a change of basis from momentum to (2, 2) twistor space, together with a recently introduced analytic continuation between (2, 2) and (1, 3) spacetimes. We test the transform for three and four-point amplitudes in a classical limit, recovering both stationary and dynamical solutions in GR as parametrized by their tower of multipole moments, including the Kerr black hole. As a corollary, this provides a link between the Kerr-Schild classical double copy and the QFT double copy.

show abstract

Section: Open Questionsmentioning

confidence: 99%

Reconstructing Classical Spacetimes from the S-Matrix in Twistor Space

Guevara¹

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In particular, the metric tensor in the form of Eqs. ( 1), (2) may be treated as exact linear perturbations of the Minkowski space-time [7,8].…”

mentioning

confidence: 99%

Kerr-Schild Tetrads and the Nijenhuis Tensor

Maluf¹,

Carneiro²,

Ulhoa³

et al. 2022

Preprint

View full text Add to dashboard Cite

We write the Kerr-Schild tetrads in terms of the flat space-time tetrads and of a (1,1) tensor S λ µ . This tensor can be considered as a projection operator, since it transforms (i) flat space-time tetrads into non-flat tetrads, and vice-versa, and (ii) the Minkowski space-time metric tensor into a non-flat metric tensor, and vice-versa. The S λ µ tensor and its inverse are constructed in terms of the standard null vector field l µ that defines the Kerr-Schild form of the metric tensor in general relativity, and that yields black holes and non-linear gravitational waves as solutions of the vacuum Einstein's field equations. We show that the condition for the vanishing of the Ricci tensor obtained by Kerr and Schild, in empty space-time, is also a condition for the vanishing of the Nijenhuis tensor constructed out of S λ µ . Thus, a theory based on the Nijenhuis tensor yields an important class of solutions of the Einstein's field equations, namely, black holes and non-linear gravitational waves.

show abstract

Note on the asymptotic structure of Kerr-Schild form

Cited by 2 publications

References 25 publications

Reconstructing Classical Spacetimes from the S-Matrix in Twistor Space

Reconstructing Classical Spacetimes from the S-Matrix in Twistor Space

Kerr-Schild Tetrads and the Nijenhuis Tensor

Contact Info

Product

Resources

About