Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime

Rosen, Rachel A.; Santoni, Luca

doi:10.1007/jhep03(2021)139

Title: Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime

Abstract

We provide a systematic and comprehensive derivation of the linearized dynamics of massive and partially massless spin-2 particles in a Schwarzschild (anti) de Sitter black hole background, in four and higher spacetime dimensions. In particular, we show how to obtain the quadratic actions for the propagating modes and recast the resulting equations of motion in a Schrödinger-like form. In the case of partially massless fields in Schwarzschild de Sitter spacetime, we study the isospectrality between modes of different parity. In particular, we prove isospectrality analytically for modes with multipole number L = 1 in four spacetime dimensions, providing the explicit form of the underlying symmetry. We show that isospectrality between partially massless modes of different parity is broken in higher-dimensional Schwarzschild de Sitter spacetimes.

Authors:

Rosen, Rachel A. ^[1];

^[1]

Columbia Univ., New York, NY (United States). Dept. of Physics

Publication Date:: Mon Mar 15 00:00:00 EDT 2021

Research Org.:: Columbia Univ., New York, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Simons Foundation; National Science Foundation (NSF)

OSTI Identifier:: 1851575

Grant/Contract Number:: SC0011941; 555117; PHY-1748958

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; black holes; field theories in higher dimensions

Citation Formats


                    Rosen, Rachel A., and Santoni, Luca. Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime.  United States: N. p., 2021. 
Web.  doi:10.1007/jhep03(2021)139.

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                    Rosen, Rachel A., & Santoni, Luca. Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime.  United States.  https://doi.org/10.1007/jhep03(2021)139

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                    Rosen, Rachel A., and Santoni, Luca. Mon .  
"Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime".  United States.  https://doi.org/10.1007/jhep03(2021)139.  https://www.osti.gov/servlets/purl/1851575.

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@article{osti_1851575,

  title        = {Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime},

  author       = {Rosen, Rachel A. and Santoni, Luca},

  abstractNote = {We provide a systematic and comprehensive derivation of the linearized dynamics of massive and partially massless spin-2 particles in a Schwarzschild (anti) de Sitter black hole background, in four and higher spacetime dimensions. In particular, we show how to obtain the quadratic actions for the propagating modes and recast the resulting equations of motion in a Schrödinger-like form. In the case of partially massless fields in Schwarzschild de Sitter spacetime, we study the isospectrality between modes of different parity. In particular, we prove isospectrality analytically for modes with multipole number L = 1 in four spacetime dimensions, providing the explicit form of the underlying symmetry. We show that isospectrality between partially massless modes of different parity is broken in higher-dimensional Schwarzschild de Sitter spacetimes.},

  doi          = {10.1007/jhep03(2021)139},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2021,

  place        = {United States},

  year         = {Mon Mar 15 00:00:00 EDT 2021},

  month        = {Mon Mar 15 00:00:00 EDT 2021}

}

Copy to clipboard

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Similar Records

Title: Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime

Abstract

Citation Formats

Partial masslessness of higher spins in (A)dS journal, July 2001

Quasinormal modes of d -dimensional spherical black holes with a near extreme cosmological constant journal, September 2003

Geometric formulation for partially massless fields journal, November 2006

Quasinormal modes of Schwarzschild–anti-de Sitter black holes: Electromagnetic and gravitational perturbations journal, September 2001

Quasinormal modes: the characteristic `sound' of black holes and neutron stars journal, November 1999

Instability of black holes in massive gravity journal, July 2013

Stability of Higher-Dimensional Schwarzschild Black Holes journal, November 2003

Quasinormal modes of D-dimensional de Sitter spacetime journal, September 2006

Gauge invariance versus masslessness in de Sitter spaces journal, May 1984

Radiation fields in the Schwarzschild background journal, January 1973

A Master Equation for Gravitational Perturbations of Maximally Symmetric Black Holes in Higher Dimensions journal, October 2003

Black hole discharge in massive electrodynamics and black hole disappearance in massive gravity journal, September 2013

Scalar, electromagnetic, and gravitational perturbations of Kerr-Newman black holes in the slow-rotation limit journal, September 2013

Anomalous propagation of gauge fields in conformally flat spaces journal, December 1983

Partially massless monopoles and charges journal, November 2015

Quasinormal modes of the near extremal Schwarzschild–de Sitter black hole journal, April 2003

Quasinormal modes of black holes and black branes journal, July 2009

Forbidden mass range for spin-2 field theory in de Sitter spacetime journal, January 1987

The quasi-normal modes of the Schwarzschild black hole journal, August 1975

Partially massless gravitons do not destroy general relativity black holes journal, June 2013

Massive vector fields on the Schwarzschild spacetime: Quasinormal modes and bound states journal, February 2012

Effective field theory of black hole quasinormal modes in scalar-tensor theories journal, February 2019

Quasi-Normal Modes of Stars and Black Holes journal, September 1999

Gravitational Field of a Particle Falling in a Schwarzschild Geometry Analyzed in Tensor Harmonics journal, November 1970

Supersymmetry and quantum mechanics journal, January 1995

Parametrized black hole quasinormal ringdown: Decoupled equations for nonrotating black holes journal, May 2019

How massless are massless fields in AdS journal, October 2000

Stability of a Schwarzschild Singularity journal, November 1957

Brane world cosmology: Gauge-invariant formalism for perturbation journal, August 2000

Gravitational quasinormal radiation of higher-dimensional black holes journal, December 2003

Oscillations of a Black Hole journal, April 1984

Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass journal, July 2013

Gauge Invariances and Phases of Massive Higher Spins in (Anti-) de Sitter Space journal, June 2001

Evidence for and obstructions to nonlinear partially massless gravity journal, July 2013

Black strings and p -branes are unstable journal, May 1993

Theoretical aspects of massive gravity journal, May 2012

The Mathematical Theory of Black Holes journal, October 1985

Gravitoelectromagnetic Perturbations of Kerr-Newman Black Holes: Stability and Isospectrality in the Slow-Rotation Limit journal, June 2013

Stability of massive cosmological gravitons journal, May 2001

Black hole perturbation in the most general scalar-tensor theory with second-order field equations. II. The even-parity sector journal, April 2014

Non-singular black holes in massive gravity: time-dependent solutions journal, October 2017

Darboux transformation in black hole perturbation theory journal, July 2017

An Approach to Gravitational Radiation by a Method of Spin Coefficients journal, May 1962

Kerr–(anti–)de Sitter black holes: Perturbations and quasinormal modes in the slow rotation limit journal, November 2018

Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations journal, July 2001

Quasinormal modes: the characteristic `sound' of black holes and neutron stars journal, November 1999

On a proposition relative to linear equations text, January 1999

Partial masslessness of higher spins in (A)dS
journal, July 2001

Quasinormal modes of d -dimensional spherical black holes with a near extreme cosmological constant
journal, September 2003

Geometric formulation for partially massless fields
journal, November 2006

Quasinormal modes of Schwarzschild–anti-de Sitter black holes: Electromagnetic and gravitational perturbations
journal, September 2001

Quasinormal modes: the characteristic `sound' of black holes and neutron stars
journal, November 1999

Instability of black holes in massive gravity
journal, July 2013

Stability of Higher-Dimensional Schwarzschild Black Holes
journal, November 2003

Quasinormal modes of D-dimensional de Sitter spacetime
journal, September 2006

Gauge invariance versus masslessness in de Sitter spaces
journal, May 1984

Radiation fields in the Schwarzschild background
journal, January 1973

A Master Equation for Gravitational Perturbations of Maximally Symmetric Black Holes in Higher Dimensions
journal, October 2003

Black hole discharge in massive electrodynamics and black hole disappearance in massive gravity
journal, September 2013

Scalar, electromagnetic, and gravitational perturbations of Kerr-Newman black holes in the slow-rotation limit
journal, September 2013

Anomalous propagation of gauge fields in conformally flat spaces
journal, December 1983

Partially massless monopoles and charges
journal, November 2015

Quasinormal modes of the near extremal Schwarzschild–de Sitter black hole
journal, April 2003

Quasinormal modes of black holes and black branes
journal, July 2009

Forbidden mass range for spin-2 field theory in de Sitter spacetime
journal, January 1987

The quasi-normal modes of the Schwarzschild black hole
journal, August 1975

Partially massless gravitons do not destroy general relativity black holes
journal, June 2013

Massive vector fields on the Schwarzschild spacetime: Quasinormal modes and bound states
journal, February 2012

Effective field theory of black hole quasinormal modes in scalar-tensor theories
journal, February 2019

Quasi-Normal Modes of Stars and Black Holes
journal, September 1999

Gravitational Field of a Particle Falling in a Schwarzschild Geometry Analyzed in Tensor Harmonics
journal, November 1970

Supersymmetry and quantum mechanics
journal, January 1995

Parametrized black hole quasinormal ringdown: Decoupled equations for nonrotating black holes
journal, May 2019

How massless are massless fields in AdS
journal, October 2000

Stability of a Schwarzschild Singularity
journal, November 1957

Brane world cosmology: Gauge-invariant formalism for perturbation
journal, August 2000

Gravitational quasinormal radiation of higher-dimensional black holes
journal, December 2003

Oscillations of a Black Hole
journal, April 1984

Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
journal, July 2013

Gauge Invariances and Phases of Massive Higher Spins in (Anti-) de Sitter Space
journal, June 2001

Evidence for and obstructions to nonlinear partially massless gravity
journal, July 2013

Black strings and p -branes are unstable
journal, May 1993

Theoretical aspects of massive gravity
journal, May 2012

The Mathematical Theory of Black Holes
journal, October 1985

Gravitoelectromagnetic Perturbations of Kerr-Newman Black Holes: Stability and Isospectrality in the Slow-Rotation Limit
journal, June 2013

Stability of massive cosmological gravitons
journal, May 2001

Black hole perturbation in the most general scalar-tensor theory with second-order field equations. II. The even-parity sector
journal, April 2014

Non-singular black holes in massive gravity: time-dependent solutions
journal, October 2017

Darboux transformation in black hole perturbation theory
journal, July 2017

An Approach to Gravitational Radiation by a Method of Spin Coefficients
journal, May 1962

Kerr–(anti–)de Sitter black holes: Perturbations and quasinormal modes in the slow rotation limit
journal, November 2018

Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations
journal, July 2001

Quasinormal modes: the characteristic `sound' of black holes and neutron stars
journal, November 1999

On a proposition relative to linear equations
text, January 1999