Built on

Justin L. Ripley and Frans Pretorius, “Hyperbolicity in Spherical Gravitational Collapse in a Horndeski Theory,”
Original
1902
Earlier work this paper cites.
R. Abuter et al
Original
1904
Earlier work this paper cites.
Laura Bernard, Luis Lehner, and Raimon Luna, “Challenges to global solutions in Horndeski’s theory,”
Original
1904
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
Maria Okounkova, Leo C. Stein, Mark A. Scheel, and Saul A. Teukolsky, “Numerical binary black hole collisions in dynamical Chern-Simons gravity,”
Original
1906
Earlier work this paper cites.
Claudia de Rham and Andrew J. Tolley, “The Speed of Gravity,”
Original
1909
Earlier work this paper cites.
Y. Fourès-Bruhat, “Théorème d’existence pour certains systèmes d’équations aux dérivées partielles non linéaires,”
1952
Earlier work this paper cites.
Edward W. Leaver, “Spectral decomposition of the perturbation response of the schwarzschild geometry,”
1986
Earlier work this paper cites.
Sean A. Hayward, “Marginal surfaces and apparent horizons,”
1993
Earlier work this paper cites.
Gioel Calabrese, Luis Lehner, David Neilsen, Jorge Pullin, Oscar Reula, Olivier Sarbach, and Manuel Tiglio, “Novel finite differencing techniques for numerical relativity: Application to black hole excision,”
2003
Earlier work this paper cites.
Aron D. Kovacs and Harvey S. Reall, “Well-posed formulation of Lovelock and Horndeski theories,”
Original
2003
Earlier work this paper cites.
Gioel Calabrese, Luis Lehner, Oscar Reula, Olivier Sarbach, and Manuel Tiglio, “Summation by parts and dissipation for domains with excised regions,”
2004
Earlier work this paper cites.
Ken Mattsson and Jan Nordström, “Summation by parts operators for finite difference approximations of second derivatives,”
2004
Earlier work this paper cites.
Abhay Ashtekar and Badri Krishnan, “Isolated and dynamical horizons and their applications,”
2004
Earlier work this paper cites.
Frans Pretorius, “Numerical relativity using a generalized harmonic decomposition,”
2005
Earlier work this paper cites.

Similar

Pablo A. Cano, Kwinten Fransen, and Thomas Hertog, “Ringing of rotating black holes in higher-derivative gravity,”
Original
2005
Cited alongside, same era.
Lee Lindblom, Mark A Scheel, Lawrence E Kidder, Robert Owen, and Oliver Rinne, “A new generalized harmonic evolution system,”
2006
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Peter Diener, Ernst Nils Dorband, Erik Schnetter, and Manuel Tiglio, “Optimized high-order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions,”
2007
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Slava G. Turyshev, “Experimental tests of general relativity,”
2008
Cited alongside, same era.
Emanuele Berti, Vitor Cardoso, and Andrei O. Starinets, “TOPICAL REVIEW: Quasinormal modes of black holes and black branes,”
Original

Then

B. P. Abbott et al
2016
Later among the works it cites.
Juan Cayuso, Néstor Ortiz, and Luis Lehner, “Fixing extensions to general relativity in the nonlinear regime,”
Original
2017
Later among the works it cites.
Solomon Endlich, Victor Gorbenko, Junwu Huang, and Leonardo Senatore, “An effective formalism for testing extensions to General Relativity with gravitational waves,”
Original
2017
Later among the works it cites.
Kostas Glampedakis, George Pappas, Hector O. Silva, and Emanuele Berti, “Post-Kerr black hole spectroscopy,”
Original
2017
Later among the works it cites.
Giuseppe Papallo and Harvey S. Reall, “On the local well-posedness of Lovelock and Horndeski theories,”
Original
2017

Beyond the bibliography

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

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Reading the bibliography…

2020

Nonlinear/non-iterative treatment of EFT-motivated gravity

Cayuso, Ramiro, Lehner, Luis

Understand

We study a higher derivative extension to General Relativity and present a fully nonlinear/non-perturbative treatment to construct initial data and study its dynamical behavior in spherical symmetry when coupled to a massless scalar field.

For initial data, we compare the obtained solutions with those from alternative treatments that rely on a perturbative (or iterative) approach.
For the future evolution of such data, we implement a recently introduced approach which addresses mathematical pathologies brought in by the higher derivatives.
Our solutions demonstrate the presence of unexpected phenomena -when seen from the lense of General Relativity, as well as departures from General Relativity in the quasi-normal mode behavior of the scalar field scattering off the black hole.

Built on

Justin L. Ripley and Frans Pretorius, “Hyperbolicity in Spherical Gravitational Collapse in a Horndeski Theory,”
Original
1902
Earlier work this paper cites.
R. Abuter et al
Original
1904
Earlier work this paper cites.
Laura Bernard, Luis Lehner, and Raimon Luna, “Challenges to global solutions in Horndeski’s theory,”
Original
1904
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
Maria Okounkova, Leo C. Stein, Mark A. Scheel, and Saul A. Teukolsky, “Numerical binary black hole collisions in dynamical Chern-Simons gravity,”
Original
1906
Earlier work this paper cites.
Claudia de Rham and Andrew J. Tolley, “The Speed of Gravity,”
Original
1909
Earlier work this paper cites.
Y. Fourès-Bruhat, “Théorème d’existence pour certains systèmes d’équations aux dérivées partielles non linéaires,”
1952
Earlier work this paper cites.
Edward W. Leaver, “Spectral decomposition of the perturbation response of the schwarzschild geometry,”
1986
Earlier work this paper cites.
Sean A. Hayward, “Marginal surfaces and apparent horizons,”
1993
Earlier work this paper cites.
Gioel Calabrese, Luis Lehner, David Neilsen, Jorge Pullin, Oscar Reula, Olivier Sarbach, and Manuel Tiglio, “Novel finite differencing techniques for numerical relativity: Application to black hole excision,”
2003
Earlier work this paper cites.
Aron D. Kovacs and Harvey S. Reall, “Well-posed formulation of Lovelock and Horndeski theories,”
Original
2003
Earlier work this paper cites.
Gioel Calabrese, Luis Lehner, Oscar Reula, Olivier Sarbach, and Manuel Tiglio, “Summation by parts and dissipation for domains with excised regions,”
2004
Earlier work this paper cites.
Ken Mattsson and Jan Nordström, “Summation by parts operators for finite difference approximations of second derivatives,”
2004
Earlier work this paper cites.
Abhay Ashtekar and Badri Krishnan, “Isolated and dynamical horizons and their applications,”
2004
Earlier work this paper cites.
Frans Pretorius, “Numerical relativity using a generalized harmonic decomposition,”
2005
Earlier work this paper cites.

Similar

Pablo A. Cano, Kwinten Fransen, and Thomas Hertog, “Ringing of rotating black holes in higher-derivative gravity,”
Original
2005
Cited alongside, same era.
Lee Lindblom, Mark A Scheel, Lawrence E Kidder, Robert Owen, and Oliver Rinne, “A new generalized harmonic evolution system,”
2006
Cited alongside, same era.
Peter Diener, Ernst Nils Dorband, Erik Schnetter, and Manuel Tiglio, “Optimized high-order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions,”
2007
Cited alongside, same era.
Slava G. Turyshev, “Experimental tests of general relativity,”
2008
Cited alongside, same era.
Emanuele Berti, Vitor Cardoso, and Andrei O. Starinets, “TOPICAL REVIEW: Quasinormal modes of black holes and black branes,”
Original

Then

B. P. Abbott et al
2016
Later among the works it cites.
Juan Cayuso, Néstor Ortiz, and Luis Lehner, “Fixing extensions to general relativity in the nonlinear regime,”
Original
2017
Later among the works it cites.
Solomon Endlich, Victor Gorbenko, Junwu Huang, and Leonardo Senatore, “An effective formalism for testing extensions to General Relativity with gravitational waves,”
Original
2017
Later among the works it cites.
Kostas Glampedakis, George Pappas, Hector O. Silva, and Emanuele Berti, “Post-Kerr black hole spectroscopy,”
Original
2017
Later among the works it cites.
Giuseppe Papallo and Harvey S. Reall, “On the local well-posedness of Lovelock and Horndeski theories,”
Original
2017

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2009

Cited alongside, same era.

S.W. Hawking and G.F.R. Ellis, The Large Scale Structure of Space-Time , Cambridge Monographs on Mathematical Physics (Cambridge University Press, 2011)

2011

Cited alongside, same era.

Paulo C. C. Freire, Norbert Wex, Gilles Esposito-Farese, Joris P. W. Verbiest, Matthew Bailes, Bryan A. Jacoby, Michael Kramer, Ingrid H. Stairs, John Antoniadis, and Gemma H. Janssen, “The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity,”

Original

2012

Cited alongside, same era.

Tessa Baker, Pedro G. Ferreira, and Constantinos Skordis, “The Parameterized Post-Friedmann framework for theories of modified gravity: concepts, formalism and examples,”

Original

2013

Cited alongside, same era.

Nicolás Yunes and Xavier Siemens, “Gravitational-wave tests of general relativity with ground-based detectors and pulsar-timing arrays,”

2013