On the proof of the positive mass conjecture in general relativity (original) (raw)

Positive mass theorems for black holes

Gary Horowitz

Communications in Mathematical Physics, 1983

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A Positive Mass Theorem Based on the Focusing and Retardation of Null Geodesics

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1993

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On the mass of static metrics with positive cosmological constant: I

Lorenzo Mazzieri

Classical and Quantum Gravity, 2018

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Proof of the positive mass theorem. II

Shing Toung Yau

Communications in Mathematical Physics, 1981

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M ay 2 00 0 Curvature Estimates and the Positive Mass Theorem

Felix Finster

2008

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Maximal hypersurfaces and positivity of mass

Arthur Fischer

1979

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Curvature Estimates and the Positive Mass Theorem

Felix Finster

1999

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Some recent progress in classical general relativity

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Journal of Mathematical Physics, 2000

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Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds

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Annales Henri Poincaré, 2008

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On negative mass cosmology in General Relativity

Aldo Gamboa

Astronomy & Astrophysics, 2021

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The positive mass and isoperimetric inequalities for axisymmetric black holes in four and five dimensions

Gary Gibbons

Classical and Quantum Gravity, 2006

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Positive Mass from Holographic Causality

Don Page

Physical Review Letters, 2002

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Quasi-asymptotically flat spacetimes and their ADM mass

ulises nucamendi

Classical and Quantum Gravity, 1997

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Non-Existence of Black Holes in Certain Lambda<0\Lambda<0Lambda<0 Spacetimes

S Surya

2002

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Wormholes, Gamma Ray Bursts and the Amount of Negative Mass in the Universe

Gustavo E Romero

Modern Physics Letters A, 1998

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The positivity conditions in general relativity

Francis Klotz

International Journal of Theoretical Physics, 1973

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Spacetime Positive Mass Theorems for Initial Data Sets with Non-Compact Boundary

Sergio Almaraz

International Mathematics Research Notices, 2020

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Black holes of negative mass

Robert Mann

Classical and Quantum Gravity, 1997

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Penrose inequalities and a positive mass theorem for charged black holes in higher dimension

Juscelino Simões Silva

arXiv (Cornell University), 2014

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Positivity Conditions for Generalised Schwarzschild Space-Times

Franco Pezzella

HAL (Le Centre pour la Communication Scientifique Directe), 2023

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Global dynamics of asymptotically locally AdS spacetimes with negative mass

Dominic Dold

Classical and Quantum Gravity, 2018

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The ADM mass of asymptotically flat hypersurfaces

LEVI GABRIEL VAZ LIMA

Transactions of the American Mathematical Society, 2014

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Negative mass black holes in de Sitter space

Robert Mann

Physical Review D

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Another proof of the positive energy theorem in gravity

Bayram Tekin

2007

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A positive energy theorem for asymptotically de Sitter spacetimes

David Kastor

Classical and Quantum Gravity, 2002

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The energy and the linear momentum of space-times in general relativity

Shing Toung Yau

Communications in Mathematical Physics, 1981

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A positive Bondi-type mass in asymptotically de Sitter spacetimes

Paul Tod

Classical and Quantum Gravity, 2015

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The Positive Action conjecture and asymptotically Euclidean metrics in quantum gravity

Gary Gibbons

Communications in Mathematical Physics, 1979

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Can negative mass be considered in General Relativity ?

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Positive mass theorem for some asymptotically hyperbolic manifolds

Bernd Ammann

Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg, 2016

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Mass as a Geometric Property of Spacetime

Kazuo O Cottrell

IOSR Journal of Applied Physics (IOSR-JAP), 9(1), Ver. II (Jan.-Feb. 2017), 1-14. DOI: 10.9790/4861-0901020114, 2017

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Gravitational mass in asymptotically de Sitter space-times with compactified dimensions

Kei-ichi Maeda

Physical Review D, 1999

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Notes on wormhole existence in scalar-tensor and F(R) gravity

Milena Skvortsova, A. Starobinsky, Kirill A Bronnikov

2010

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The positive mass theorem and Penrose inequality for graphical manifolds

Heudson Mirandola

Communications in Analysis and Geometry, 2015

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The positive mass theorem with angular momentum and charge for manifolds with boundary

Benjamin Sokolowsky

Journal of Mathematical Physics, 2019

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