Fetching the paper…

Reading the bibliography…

2022

Coordinate singularities of self-interacting vector field theories

Coates, Andrew, Ramazanoğlu, Fethi M.

Original
PDF
Post on X

Understand

Self-interacting vectors are seeing a burst of interest where various groups demonstrated that the field evolution ends in finite time.

Two nonequivalent criteria have been offered to identify this breakdown: (i) the vector constraint equation cannot be satisfied beyond a point where the breakdown occurs, (ii) the dynamics is governed by an effective metric that becomes singular at the breakdown.
We show that (i) identifies a coordinate singularity, and can be removed by a change of coordinates.
Hence, it does not signify a physical problem, and cannot determine the validity of a theory.

Coordinate singularities of self-interacting vector field theories · Around

Built on

L. Annulli, V. Cardoso, and L. Gualtieri, Electromagnetism and hidden vector fields in modified gravity theories: spontaneous and induced vectorization, Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
H. Fukuda and K. Nakayama, Aspects of Nonlinear Effect on Black Hole Superradiance, JHEP 01
Original
1910
Earlier work this paper cites.
W. Heisenberg and H. Euler, Consequences of Dirac’s theory of positrons, Z. Phys. 98
1936
Earlier work this paper cites.
A. Proca, Sur la theorie ondulatoire des electrons positifs et negatifs, J. Phys. Radium 7
1936
Earlier work this paper cites.
R. Arnowitt, S. Deser, and C. W. Misner, The dynamics of general relativity, in Gravitation: An Introduction to Current Research , edited by L. Witten (Wiley, New York, 1962) pp. 227–265, arXiv:gr-qc/0405109
1962
Earlier work this paper cites.
G. B. Cook and M. A. Scheel, Well-behaved harmonic time slices of a charged, rotating, boosted black hole, Phys. Rev. D 56
1997
Earlier work this paper cites.
M. Marklund and P. K. Shukla, Nonlinear collective effects in photon-photon and photon-plasma interactions, Rev. Mod. Phys. 78
2006
Earlier work this paper cites.
G. Esposito-Farese, C. Pitrou, and J.-P. Uzan, Vector theories in cosmology, Phys. Rev. D 81
Original
2010
Earlier work this paper cites.
C. A. R. Herdeiro and E. Radu, Asymptotically flat, spherical, self-interacting scalar, Dirac and Proca stars, Symmetry 12
Original
2012
Earlier work this paper cites.
É. Gourgoulhon, 3+1 Formalism in General Relativity: Bases of Numerical Relativity , Lecture Notes in Physics (Springer Berlin Heidelberg, 2012)
2012
Earlier work this paper cites.

Similar

C. de Rham, Massive Gravity, Living Rev. Rel. 17
Original
2014
Cited alongside, same era.
D. d’Enterria and G. G. da Silveira, Observing light-by-light scattering at the Large Hadron Collider, Phys. Rev. Lett. 111
Original
2016
Cited alongside, same era.
L. Heisenberg, R. Kase, and S. Tsujikawa, Beyond generalized Proca theories, Phys. Lett. B 760
Original
2016
Cited alongside, same era.
F. M. Ramazanoğlu, Spontaneous growth of vector fields in gravity, Phys. Rev. D96
Original
2017
Cited alongside, same era.
M. Aaboud et al. (ATLAS), Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC, Nature Phys. 13
Original

Then

S. Garcia-Saenz, A. Held, and J. Zhang, Destabilization of Black Holes and Stars by Generalized Proca Fields, Phys. Rev. Lett. 127
Original
2021
Later among the works it cites.
H. O. Silva, A. Coates, F. M. Ramazanoğlu, and T. P. Sotiriou, Ghost of vector fields in compact stars, Phys. Rev. D 105
Original
2022
Closest in time.
E. S. Demirboğa, A. Coates, and F. M. Ramazanoğlu, Instability of vectorized stars, Phys. Rev. D 105
Original
2022
Closest in time.
D. D. Doneva, F. M. Ramazanoğlu, H. O. Silva, T. P. Sotiriou, and S. S. Yazadjiev, Scalarization (2022), arXiv:2211.01766 [gr-qc]
Original
2022
Closest in time.
K. Clough, T. Helfer, H. Witek, and E. Berti, Ghost Instabilities in Self-Interacting Vector Fields: The Problem with Proca Fields, Phys. Rev. Lett. 129

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2017

Cited alongside, same era.

R. Kase, M. Minamitsuji, and S. Tsujikawa, Relativistic stars in vector-tensor theories, Phys. Rev. D 97

2018

Cited alongside, same era.

M. Minamitsuji, Vector boson star solutions with a quartic order self-interaction, Phys. Rev. D 97

2018

Cited alongside, same era.

J. P. Conlon and C. A. R. Herdeiro, Can black hole superradiance be induced by galactic plasmas?, Phys. Lett. B 780

2018

Cited alongside, same era.

C. P. Burgess, Introduction to Effective Field Theory (Cambridge University Press, 2020)

2020

Cited alongside, same era.

S. Barton, B. Hartmann, B. Kleihaus, and J. Kunz, Spontaneously vectorized Einstein-Gauss-Bonnet black holes, Phys. Lett. B 817

Original

2021

Cited alongside, same era.

A. De Felice, L. Heisenberg, R. Kase, S. Mukohyama, S. Tsujikawa, and Y.-l. Zhang, Cosmology in generalized Proca theories, JCAP 06

Cited in the paper.

A. De Felice, L. Heisenberg, R. Kase, S. Tsujikawa, Y.-l. Zhang, and G.-B. Zhao, Screening fifth forces in generalized Proca theories, Phys. Rev. D 93

Cited in the paper.

2022

Closest in time.

Z.-G. Mou and H.-Y. Zhang, Singularity Problem for Interacting Massive Vectors, Phys. Rev. Lett. 129

2022

Closest in time.

A. Coates and F. M. Ramazanoğlu, Intrinsic Pathology of Self-Interacting Vector Fields, Phys. Rev. Lett. 129

2022

Closest in time.

W. E. East, Vortex String Formation in Black Hole Superradiance of a Dark Photon with the Higgs Mechanism, Phys. Rev. Lett. 129

2022

Closest in time.

M. Corman, J. L. Ripley, and W. E. East, Nonlinear studies of binary black hole mergers in Einstein-scalar-Gauss-Bonnet gravity (2022), arXiv:2210.09235 [gr-qc]

2022

Closest in time.

A. H. K. R., J. L. Ripley, and N. Yunes, Where and why does Einstein-Scalar-Gauss-Bonnet theory break down? (2022), arXiv:2211.08477 [gr-qc]

2022

Closest in time.