Robert Bartnik

Q: What Schools Are Affiliated With Robert Bartnik

Robert Bartnik is affiliated with the following schools: University of Canberra, University of Wollongong, University of Melbourne, Princeton University, University of Adelaide, Australian National University

Robert Bartnik's AcademicInfluence.com Rankings

Robert Bartnik

Mathematics

#4862

World Rank

#6875

Historical Rank

Differential Geometry

#88

World Rank

#104

Historical Rank

Measure Theory

#2784

World Rank

#3322

Historical Rank

mathematics Degrees

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Mathematics

Robert Bartnik's Degrees

PhD Mathematics University of Adelaide

Why Is Robert Bartnik Influential?

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According to Wikipedia, Robert Bartnik was an Australian mathematician based at Monash University. He was known for his contributions to the rigorous mathematical study of general relativity. He received his bachelor's and master's degrees from Melbourne University and a PhD in mathematics from Princeton University in 1983, where his advisor was Shing-Tung Yau. In 2004 he was elected to the Australian Academy of Science, with citation: His work with John McKinnon has been widely studied in the physics literature. They show that there is a discrete set of static solutions to the coupled Einstein/Yang-Mills equations which are geodesically complete and asymptotically flat. This is interesting since such solutions are known not to exist in the cases of the Einstein vacuum equations, the coupled Einstein/Maxwell equations, and the Yang-Mills equations. Although Bartnik and McKinnon's work was numerical, their observed phenomena has been mathematically justified by Joel Smoller, Arthur Wasserman, Shing-Tung Yau, and Joel McLeod.

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Robert Bartnik's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The mass of an asymptotically flat manifold (1986) (770)
Spacelike hypersurfaces with prescribed boundary values and mean curvature (1982) (285)
Existence of maximal surfaces in asymptotically flat spacetimes (1984) (187)
The Constraint equations (2004) (186)
Remarks on cosmological spacetimes and constant mean curvature surfaces (1988) (126)
Quasi-spherical metrics and prescribed scalar curvature (1993) (122)
Boundary value problems for Dirac-type equations (2005) (85)
Regularity of variational maximal surfaces (1988) (73)
Phase space for the Einstein equations (2004) (69)
Mass and 3-metrics of non-negative scalar curvature (2003) (45)
Einstein equations in the null quasispherical gauge (1996) (32)
On maximal surfaces in asymptotically flat space-times (1990) (30)
Numerical Methods for the Einstein Equations in Null Quasi-Spherical Coordinates (2000) (25)
Boundary value problems for Dirac--type equations, with applications (2003) (23)
Einstein equations in the null quasi-spherical gauge III: numerical algorithms (1999) (20)
Maximal surfaces and general relativity (1987) (20)
The structure of spherically symmetric su(n) Yang–Mills fields (1997) (17)
Isolated singular points of Lorentzian mean curvature hypersurfaces (1989) (11)
Spherically symmetric dynamical horizons (2005) (10)
The null–timelike boundary problem for Maxwell's equations in Minkowski space (1998) (10)
Static spherically symmetric solutions of the SO(5) Einstein Yang-Mills equations (2009) (10)
A note on static metrics (2005) (9)
The Existence of Maximal Surfaces in Asymptotically Flat Spacetimes (1984) (9)
Bondi mass in the NQS gauge (2004) (9)
Shear-free null quasi-spherical space–times (1997) (9)
Some open problems in mathematical relativity (1989) (8)
Interaction of gravitational waves with a black hole (1997) (7)
Proof of the Thin Sandwich Conjecture (1993) (5)
Numerical Experiments at Null Infinity (2002) (4)
Results and conjectures in mathematical relativity (1989) (2)
Assessing accuracy in a numerical Einstein solver (2005) (2)
Introduction to differential geometry (1996) (1)
A Configuration Space for Solutions of Maxwell's Equations (1999) (0)
Conference on Mathematical Relativity (Canberra, July, 1988) (1989) (0)
NOTES ON ‘RICCI FLOW ON ASYMPTOTICALLY EUCLIDEAN MANIFOLDS’ (2022) (0)
White's Compactness Theorem for Integral Currents (2006) (0)
The existence of maximal surfaces (1984) (0)
Introduction to the 3+1 Einstein equations (2002) (0)
MEAN CURVATURE FLOW OF COMPACT SPACELIKE SUBMANIFOLDS IN HIGHER CODIMENSION (2019) (0)
A Canonical Null Gauge for the Einstein Equations (2000) (0)
Gravity matters (2004) (0)
The wave equation (1996) (0)
Fe b 20 04 Phase Space for the Einstein Equations (2018) (0)
BAZ volume 69 issue 3 Cover and Front matter (2004) (0)
M ay 1 99 7 UNE-MSCS-96-128 , gr-qc / 9705079 Shear-free Null Quasi-Spherical Spacetimes (2008) (0)

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Other Resources About Robert Bartnik

en.wikipedia.org

What Schools Are Affiliated With Robert Bartnik?

Robert Bartnik is affiliated with the following schools:

Robert Bartnik's Academic­Influence.com Rankings

Robert Bartnik's Degrees

Why Is Robert Bartnik Influential?

Robert Bartnik's Published Works

Published Works

Other Resources About Robert Bartnik

What Schools Are Affiliated With Robert Bartnik?

Robert Bartnik's AcademicInfluence.com Rankings