Quasinormal modes of D-dimensional de Sitter spacetime

A. L\'opez-Ortega

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Quasinormal modes of D-dimensional de Sitter spacetime

A. López-Ortega

General Relativity and Quantum Cosmology · Submitted 4 May 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We calculate the exact values of the quasinormal frequencies for an electromagnetic field and a gravitational perturbation moving in $D$-dimensional de Sitter spacetime ($D \geq 4$).

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We calculate the exact values of the quasinormal frequencies for an electromagnetic field and a gravitational perturbation moving in $D$-dimensional de Sitter spacetime ($D \geq 4$). We also study the quasinormal modes of a real massive scalar field and we compare our results with those of other references.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We calculate the exact values of the quasinormal frequencies for an electromagnetic field and a gravitational perturbation moving in $D$-dimensional de Sitter spacetime ($D \geq 4$).	contribution 0.69	0.97	0.67	asserted 1.00
s1	We also study the quasinormal modes of a real massive scalar field and we compare our results with those of other references.	contribution 1.00	0.92	0.11	asserted 0.98

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The paper

Original abstract

We calculate the exact values of the quasinormal frequencies for an electromagnetic field and a gravitational perturbation moving in $D$-dimensional de Sitter spacetime ($D \geq 4$). We also study the quasinormal modes of a real massive scalar field and we compare our results with those of other references.

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References

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Cited by 24 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Quasinormal modes of Kerr-Newman-de Sitter black holes from Heun connection formulae
gr-qc 2026-09 accept novelty 7.0 of 10

The paper derives analytic quasinormal mode spectra for Kerr-Newman-de Sitter black holes in the small cosmological constant, near-extremal, and near-Nariai limits using Heun connection formulae, including noninteger-...
Horizon Edge Partition Functions in $\Lambda>0$ Quantum Gravity
hep-th 2026-03 unverdicted novelty 7.0 of 10

Horizon edge mode spectra in de Sitter and Nariai spacetimes exhibit universal shift symmetries that produce novel symmetry breaking in one-loop partition functions.
Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons
hep-th 2025-08 conditional novelty 7.0 of 10

Pole-skipping in Schwarzschild-de Sitter predicts superluminal and imaginary butterfly velocities, confirmed by shock wave analysis, hinting at nonlocal and non-Hermitian dual dynamics.
Scalar fields and 3D Flat Space Cosmologies
hep-th 2025-06 reject novelty 7.0 of 10

A direct bulk derivation of scalar quasi-normal modes in 3D flat space cosmologies is presented, using a hard-wall boundary condition and complex momenta, together with one-loop partition functions computed in simplif...
Static Patch Solipsism: Conformal Symmetry of the de Sitter Worldline
hep-th 2011-09 accept novelty 7.0 of 10

The retarded propagators of scalars and gravitons in the de Sitter static patch are controlled by a hidden SL(2,R) x SL(2,R) symmetry inherited from a conformally related AdS3, and can be reproduced by a level-matched...

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Late-time electric screening in dS from EAdS loops
hep-th 2026-10 accept novelty 6.0 of 10

An analytic one-loop EAdS computation gives the de Sitter current anomalous dimension as a second-sheet photon pole and recasts the bubble discontinuity as a closed Cutkosky cut.
Scalar perturbations and strong cosmic censorship for an asymptotically de Sitter regular black hole
gr-qc 2026-07 conditional novelty 6.0 of 10

In regular ABGB-de Sitter black holes, near-extremal scalar perturbations decay fast enough (β>1/2) to violate strong cosmic censorship, and adding scalar mass can push the regularity parameter past β=1.
Nonoscillatory gravitational quasinormal modes of Reissner-Nordstr\"om-de Sitter spacetime
gr-qc 2025-06 conditional novelty 6.0 of 10

Purely imaginary gravitational quasinormal modes of Reissner-Nordström-de Sitter black holes are computed and shown to obey a universal small-hole formula and to generate late-time exponential tails.
Long-Lived Quasinormal Modes and Quasi-Resonances around Non-Minimal Einstein-Yang-Mills Black Holes
gr-qc 2025-05 conditional novelty 6.0 of 10

Massive scalar fields around non-minimal Einstein-Yang-Mills black holes can form arbitrarily long-lived quasi-resonances in flat space, but not in de Sitter space; an analytic large-mass frequency formula is given.
Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter
hep-th 2025-01 conditional novelty 6.0 of 10

The paper derives eikonal quasinormal mode frequencies and shock-wave switchback delays in Schwarzschild-de Sitter for arbitrary mass, using static-sphere observers and reflecting boundary conditions.
Double-scaled SYK and de Sitter Holography
hep-th 2023-10 conditional novelty 6.0 of 10

A pair of double-scaled SYK models constrained to equal energy reproduces the de Sitter Green's function of a massive scalar in 3D, supporting a holographic duality between the doubled model and de Sitter gravity.
Strong Cosmic Censorship in Horndeski Theory
gr-qc 2019-08 conditional novelty 6.0 of 10

For scalar fields with non-minimal derivative coupling on Reissner-Nordström-de Sitter black holes, strong cosmic censorship is violated only when the ratio β exceeds 3/2 instead of 1/2, and small near-extremal black ...
De Sitter Horizons & Holographic Liquids
hep-th 2018-11 conditional novelty 6.0 of 10

Matter perturbations on AdS2-to-dS2 interpolating geometries yield an oscillatory out-of-time-order correlator, not the exponential Lyapunov growth characteristic of black hole horizons.
Infrared Realization of dS$_2$ in AdS$_2$
hep-th 2017-03 accept novelty 6.0 of 10

A smooth two-dimensional dilaton-gravity solution interpolates from an asymptotically AdS2 boundary to a dS2 static-patch interior, with finite entropy and positive specific heat.
State/Operator Correspondence in Higher-Spin dS/CFT
hep-th 2012-04 conditional novelty 6.0 of 10

Boundary CFT states on S2 are matched to bulk de Sitter states on R3 slices ending at future infinity, with operator insertions dual to quasinormal modes and the Euclidean vacuum dual to a thermal mixed state.
Black hole determinants and quasinormal modes
hep-th 2009-08 conditional novelty 6.0 of 10

Functional determinants in thermal spacetimes equal a product over quasinormal modes times a local polynomial, checked against known thermal AdS3, BTZ, and sphere results.
On the late time behavior of thermal two point function in curved space-time
hep-th 2025-09 conditional novelty 5.0 of 10

For thermal Bose fields in static de Sitter or a planar BTZ black hole, the late-time correlation decay switches from temperature-limited to quasinormal-mode-limited at a critical temperature Tc.
De Sitter Horizon Edge Partition Functions
hep-th 2025-01 unverdicted novelty 5.0 of 10

Edge partition functions for totally symmetric tensors in dS_{d+1} are decomposed under so(d), with the linearized gravity case receiving contributions from shift-symmetric fields on S^{d-1} suggesting an embedded bra...
Superradiant instability of charged scalar fields in higher-dimensional Reissner-Nordstr\"om-de Sitter black holes
gr-qc 2019-08 conditional novelty 5.0 of 10

Charged scalar perturbations of higher-dimensional Reissner-Nordström-de Sitter black holes are superradiantly unstable, with the growth rate increasing with spacetime dimension.
Strong Cosmic Censorship in higher-dimensional Reissner-Nordstr\"{o}m-de Sitter spacetime
gr-qc 2019-02 conditional novelty 5.0 of 10

Neutral scalar perturbations of near-extremal Reissner-Nordstrom-de Sitter black holes in 4, 5 and 6 dimensions decay slowly enough that Strong Cosmic Censorship is violated, with the dimensional ordering of the viola...
Analyzing Quasi-normal modes spectrum in asymptotically de Sitter black bounces and their optical appearance
gr-qc 2026-08 reject novelty 4.0 of 10

For a de Sitter version of the Simpson-Visser black bounce, the paper computes energy conditions, shadows, and axial quasinormal modes, finding that the regularization parameter mainly affects the QNM spectrum.
A Dynamical Systems Framework for Reinforcement Learning Safety and Robustness Verification
cs.AI 2025-08 unverdicted novelty 4.0 of 10

The claimed RL safety verification framework is absent from the manuscript; the body text is an unrelated high-energy physics paper about de Sitter horizon chaos.
De Sitter Musings
hep-th 2012-05 accept novelty 3.0 of 10

A survey of de Sitter physics arguing that the static-patch observer and the far-future-boundary metaobserver are genuinely distinct problems, and that most open questions in the field come from conflating them.
Grey-body factors of black holes
gr-qc 2026-10 accept novelty 2.0 of 10

A review of the definition, computation, and physical applications of grey-body factors across asymptotically flat, de Sitter, and anti-de Sitter black hole spacetimes.

How later papers used it

61 later papers cite it

Evidence: substantial. 53 of the citing papers share no author with it, and 14 of those carry a confident label from Pith's citation classifier.

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4 later papers by other authors are listed below: 1 used its method or tool, 1 used its data or values and 3 compared their own results with it. 1 of them appears under more than one label.

Uses its method or tool 1 of 5 papers with this label

Followed the steps in this paper to show that the radial equation can be transformed into the HDE by a change of variable.

Quasinormal modes of accelerating spacetime (2024) · 1.00 · paraphrased: the licence does not allow quoting

Uses its data or values 1 of 7 papers with this label

The value of $μ_c$ depends on the cosmological constant, and for the de Sitter case (with $M=0$) they correspond to [equation] Although such an explicit form is not attainable for the SdS case, the result for the de Sitter spacetime presented in Ref. [ref] and [ref] provides a good estimate for our purposes.

Quasibound state reminiscent in de-Sitter black holes: Quasinormal modes and the decay of massive fields (2024) · Results · 0.85

Compares with it 3 of 10 papers with this label

Employed this method to calculate dS modes and compared its own results with those in this paper to validate its approach.

Quasinormal modes of accelerating spacetime (2024) · 1.00 · paraphrased: the licence does not allow quoting
Noted that its scalar spectra coincide with those of this paper's Physical modes I, while its vector ones coincide with Physical modes II.

De Sitter Horizon Edge Partition Functions (2025) · 0.90 · paraphrased: the licence does not allow quoting
Retrieved a set of modes that approximate the quasinormal modes of the static patch given in this paper, in the worldline limit of the cosmic patch.

Cosmological Observatories (2024) · 0.80 · paraphrased: the licence does not allow quoting

How the literature uses it

59 arXiv papers cite this in 159 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 101 sentences without a confident label

Contests it 1 paper

Thus for these values of the parameters we find that the formula (51) of Ref. [ref] does not give valid QNF of the de Sitter spacetime.

On the quasinormal modes of the de Sitter spacetime · On the de Sitter QNF of the Klein-Gordon field with $q=0$, $μ^2 = 2$, and $D=4$ · contest 0.95

Builds on it 1 paper

So we provide additional perturbations for which their QN frequencies can be exactly calculated in this background and therefore we extend the results of Refs. [ref] , [ref] .

Electromagnetic quasinormal modes of D-dimensional black holes II · QN frequencies of $D$-dimensional Nariai solution · 1.00

Uses its method or tool 4 papers

To solve Eq. ([ref]) we make the change of variable $y = r^2$ [ref] , [ref] to obtain [equation] Proposing that the function $U$ takes the form [equation] we find that if the quantities $E$ and $C$ are solutions of the equations [equation] then the function $U_2$ must be a solution of the differential equation [equation] which is a hypergeometric type differential equation [ref] , [ref] [equation]

On the quasinormal modes of the de Sitter spacetime · Gravitational QNM of the de Sitter spacetime · 0.97
We follow the steps in [ref] to show that the radial equation [ref] can be transformed into the HDE by a change of variable.

Quasinormal modes of accelerating spacetime · Direct conversion to HDEs · 1.00
The quasinormal modes of massive fields on de Sitter are found directly from the equations of motion of the field in the manner of [ref] .

Spinning up the spool: Massive spinning fields in 3d quantum gravity · DHS for massive spinning fields on S3 · 0.93

Uses its data or values 7 papers

In this section our aim is to use the ideas by Hod, Kunstatter, and Maggiore to find the quantum of area for $D$-dimensional de Sitter horizon, hence we note that the QNF of the gravitational perturbations (GP) in $D$-dimensional de Sitter spacetime are equal to [ref] , [ref] [equation] where $n = 0, 1,…$, $q=0$ for tensor type GP, $q=1$ for vector type GP, $q=2$ for scalar type GP, and $l$ is the orbital angular momentum number.[The QNF of the boson and fermion fields in $D$-dimensional de Sitter spacetime for $D ≥3$ were calculated exactly in Refs. [ref] – [ref] .

Area spectrum of the D-dimensional de Sitter spacetime · Quantum of area for $D$-dimensional de Sitter horizon · 0.94
For example, for a massive field of mass $m^2 = Δ(d-1-Δ)$ minimally coupled to gravity the answer [There is also the second branch $ω_k = -i ( l + Δ+ 2k + d-1)κ_c$. ] [ref] is

On scrambling, tomperature and superdiffusion in de Sitter space · Superdiffusion · 0.91
For the electromagnetic field, the effective potentials of the modes $I$ and $II$ in $D$-dimensional de Sitter spacetime are equal to (Table 1 of Ref. [ref] ) [equation] with $x=r_*/L$.

Dirac quasinormal modes of D-dimensional de Sitter spacetime · Effective potentials · 0.81

Compares with it 9 papers

It is convenient to notice that the quantities $i ω̃$ of formula ([ref]) are integers for odd $p$ and half-integers for even $p$, as the de Sitter QN frequencies of a massless Klein-Gordon coupled to curvature with coupling constant $ξ=(D-1)/(4D)$ (see expression (55) of [ref] ).

Dirac quasinormal modes of D-dimensional de Sitter spacetime · Massless Dirac field · 0.83
To validate our approach, we employ this method to calculate dS modes and compare our results with those in [ref] .

Quasinormal modes of accelerating spacetime · INTRODUCTION · 1.00
Our results coincide with those of Ref. [ref] , but the method of Sect.

On the quasinormal modes of the de Sitter spacetime · Summary · 1.00

Cites it as support 1 paper

In fact, the $Φ_ω, k$ are exactly (up to normalization) the quasi-normal modes of dS$_3$ [ref] .

Gravitational Wilson Lines in 3D de Sitter · Wick rotation and quasi-normal modes · 0.97

Cites it as background 14 papers

In this finite region, we find two families of modes in the spectrum, namely the PS modes [ref] and the dS modes [ref] .

Spectral (in)stability of quasinormal modes and strong cosmic censorship · SdS BHs · 0.90
Second, there is a set of purely imaginary modes (non-oscillatory damped modes) associated to the presence of the cosmological horizon, referred to as de Sitter (dS) modes [ref] .

Pseudospectrum of de Sitter black holes · Introduction · 0.98
In the presence of a cosmological constant, a new class of modes also emerges, e.g., besides the well-known photon sphere modes, there are purely imaginary de Sitter modes for Schwazrschild-de Sitter black holes [ref] .

Perturbing the perturbed: Stability of quasinormal modes in presence of a positive cosmological constant · Introduction · 0.83

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