Stable, Thin Wall, Negative Mass Bubbles
in de Sitter Space-Time
Matthew C. Johnson, M. B. Paranjape, Antoine Savard,
and Natalia Tapia-Arellano
Abstract Up to now, only configurations of negative mass have been found (Belletête and Paranjape, Int J Mod Phys D22:1341017, 2013; Mbarek and Paranjape,
Phys Rev D90(10):101502, 2014), no stability or dynamics was considered. Here we
show the existence of stable, static, negative mass bubbles in de Sitter space-time.
The bubbles have an interior that is pure de Sitter, separated by a thin wall from the
exact, negative mass Schwarzschild-de Sitter space-time exterior. We use the Israel
junction conditions at the wall. We find the bubbles can collapse spherically to the
singular negative mass solution, violating the cosmic censorship hypothesis.
Keywords Gravity · Negative mass · de Sitter space-time
M. C. Johnson
Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada
Department of Physics and Astronomy, York University, Toronto, ON, Canada
e-mail: mjohnson@perimeterinstitute.ca
M. B. Paranjape ()
Département de physique, Université de Montréal, Montréal, QC, Canada
Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada
A. Savard
Groupe de physique des particules, Département de physique, Université de Montréal, Montréal,
QC, Canada
e-mail: paranj@lps.umontreal.ca
N. Tapia-Arellano
Groupe de physique des particules, Département de physique, Université de Montréal, Montréal,
QC, Canada
e-mail: antoine.savard@umontreal.ca
Departamento de Física, Universidad de Santiago de Chile, Estación Central, Santiago, Chile
© Springer Nature Switzerland AG 2021
M. B. Paranjape et al. (eds.), Quantum Theory and Symmetries, CRM Series in
Mathematical Physics, https://doi.org/10.1007/978-3-030-55777-5_44
475
in de Sitter Space-Time
Matthew C. Johnson, M. B. Paranjape, Antoine Savard,
and Natalia Tapia-Arellano
Abstract Up to now, only configurations of negative mass have been found (Belletête and Paranjape, Int J Mod Phys D22:1341017, 2013; Mbarek and Paranjape,
Phys Rev D90(10):101502, 2014), no stability or dynamics was considered. Here we
show the existence of stable, static, negative mass bubbles in de Sitter space-time.
The bubbles have an interior that is pure de Sitter, separated by a thin wall from the
exact, negative mass Schwarzschild-de Sitter space-time exterior. We use the Israel
junction conditions at the wall. We find the bubbles can collapse spherically to the
singular negative mass solution, violating the cosmic censorship hypothesis.
Keywords Gravity · Negative mass · de Sitter space-time
M. C. Johnson
Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada
Department of Physics and Astronomy, York University, Toronto, ON, Canada
e-mail: mjohnson@perimeterinstitute.ca
M. B. Paranjape ()
Département de physique, Université de Montréal, Montréal, QC, Canada
Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada
A. Savard
Groupe de physique des particules, Département de physique, Université de Montréal, Montréal,
QC, Canada
e-mail: paranj@lps.umontreal.ca
N. Tapia-Arellano
Groupe de physique des particules, Département de physique, Université de Montréal, Montréal,
QC, Canada
e-mail: antoine.savard@umontreal.ca
Departamento de Física, Universidad de Santiago de Chile, Estación Central, Santiago, Chile
© Springer Nature Switzerland AG 2021
M. B. Paranjape et al. (eds.), Quantum Theory and Symmetries, CRM Series in
Mathematical Physics, https://doi.org/10.1007/978-3-030-55777-5_44
475