-
[1] M. Khuri, "The local isometric embedding in R^{3} of two-dimensional
Riemannian manifolds with Gaussian
curvature changing sign to finite order
on a curve," J. Differential Geom., 76 (2007), 249-291.
-
[2] M. Khuri, "Local solvability of
degenerate Monge-Ampere equations and
applications to geometry,"
Electron. J. Diff. Eqns., 2007 (2007), No. 65, 1-37.
-
[3] M. Khuri, "Counterexamples to the local solvability
of Monge-Ampere equations
in the plane," Comm. Partial Differential Equations, 32 (2007), 665-674.
-
[4] M. Khuri, F. Marques, and R. Schoen,
"A compactness theorem for
the Yamabe problem,"
J. Differential Geom., 81 (2009), 143-196.
-
[5] M. Khuri, "A Penrose-like
inequality for general initial data sets,"
Comm. Math.
Phys., 290 (2009), 779-788.
-
[6] M. Khuri, "Nonexistence of
generalized apparent horizons in Minkowski
space,"
Class. Quantum Grav., 26 (2009), 078001.
-
[7] M. Khuri, "The Hoop Conjecture in spherically
symmetric
spacetimes," Phys. Rev. D, 80 (2009), no. 12, 124025.
-
[8] M. Khuri, "On the local solvability of Darboux's
equation,"
Discrete Contin. Dyn. Syst. (2009), Dynamical Systems and
Differential Equations, Proceedings of the 7th AIMS
International Conference, suppl.,
451-456.
-
[9] H. Bray, and M. Khuri, "A Jang Equation approach to
the Penrose
Inequality," Discrete Contin. Dyn. Syst., 27 (2010), 741-766.
-
[10] Q. Han, and M. Khuri, "On the local isometric embedding
in R^{3} of surfaces with Gaussian curvature of mixed sign,"
Comm. Anal. Geom., 18 (2010), No. 4, 649-704.
-
[11] Q. Han, and M. Khuri, "Rigidity in the class of orientable
compact surfaces of minimal
total absolute curvature," Differential Geom. Appl., 29 (2011), 463-472.
-
[12] M. Khuri, "Boundary value problems for mixed type equations
and applications," Nonlinear Anal., 74 (2011), 6405-6415.
-
[13] H. Bray, and M. Khuri, "P.D.E.'s which imply the Penrose
Conjecture," Asian J. Math., 15 (2011), 559-612.
-
[14] Q. Han, and M. Khuri, "The linearized
system for isometric embeddings and its characteristic variety,"
Advances in Mathematics, 230 (2012), 263-293.
-
[15] N. Katz, and M. Khuri, "Three quasi-local masses,"
Mod. Phys. Lett. A, 27 (2012), 1250042.1-1250042.9.
-
[16] M. Disconzi, and M. Khuri, "On the Penrose inequality for charged black holes,"
Class. Quantum Grav., 29 (2012), 245019.
-
[17] M. Anderson, and M. Khuri, "On the Bartnik extension problem for the
static vacuum Einstein equations," Class. Quantum Grav., 30 (2013), 125005.
-
[18] Q. Han, and M. Khuri, "Smooth solutions of a
class of mixed type Monge-Ampere equations," Calc. Var. Partial Differential Equations, 47 (2013), no. 3-4, 825-867.
-
[19] S. Dain, M. Khuri, S. Yamada, and G. Weinstein, "Lower Bounds for
the area of black holes in terms of mass, charge, and angular momentum," Phys. Rev. D, 88 (2013), 024048.
-
[20] M. Khuri, and G. Weinstein, "Rigidity in the positive mass theorem with
charge," J. Math. Phys., 54 (2013), 092501.
-
[21] M. Khuri, "A Penrose-Like inequality with charge," Gen.
Relativity Gravitation, 45 (2013), no. 11, 2341-2361.
-
[22] Q. Han, and M. Khuri, "Existence and blow-up behavior for solutions of
the generalized Jang equation," Comm. Partial Differential Equations, 38 (2013), 2199-2237.
-
[23] M. Khuri, G. Weinstein, and S. Yamada, "Extensions of the
charged Riemannian Penrose inequality," Class. Quantum Grav., 32 (2015), 035019.
-
[24] A. Khuri, S. Mukhopadhyay, and M. Khuri, "Approximating moments
of functions of random variables using Bernstein polynomials," Stat. Methodol., 24 (2015), 37-51.
-
[25] Y.-S. Cha, and M. Khuri, "Deformations of axially symmetric initial data
and the mass-angular momentum inequality," Ann. Henri Poincare, 16 (2015), no. 3, 841-896.
-
[26] Y.-S. Cha, and M. Khuri, "Deformations of charged axially
symmetric initial data and the mass-angular momentum-charge inequality," Ann. Henri Poincare, 16
(2015), no. 12, 2881-2918.
-
[27] M. Khuri, "Existence of black holes due to concentration of
angular momentum," J. High Energy Phys. (2015), no. 6, Art. 188.
-
[28] M. Khuri, "Inequalities between size and charge for bodies and the
existence of black holes due to concentration of charge," J. Math. Phys., 56 (2015), 112503.
-
[29] M. Khuri, G. Weinstein, and S. Yamada, "The Riemannian Penrose
inequality with charge for multiple black holes," Proceedings of the Complex Analysis & Dynamical Systems VI Conference (Nahariya, Israel, May 2013),
Contemporary Mathematics, 653 (2015), 219-226.
-
[30] Y.-S. Cha, M. Khuri, and Anna Sakovich, "Reduction arguments
for geometric inequalities associated with asymptotically hyperboloidal slices," Class. Quantum Grav.,
33 (2016), 035009.
-
[31] M. Khuri, and G. Weinstein, "The Positive mass theorem for
multiple rotating charged black holes," Calc. Var. Partial Differential Equations, 55 (2016), no. 2, 1-29.
-
[32] A. Alaee, M. Khuri, and H. Kunduri, "Proof of the mass-angular momentum inequality
for bi-axisymmetric black holes with spherical topology," Adv. Theor. Math. Phys., 20 (2016), no. 6, 1397-1441.
-
[33] A. Alaee, M. Khuri, and H. Kunduri, "Relating mass to angular momentum and charge in 5-dimensional minimal supergravity,"
Ann. Henri Poincare, 18 (2017), no. 5, 1703-1753.
-
[34] M. Disconzi, and M. Khuri, "Compactness and noncompactness for the Yamabe
problem on manifolds with umbilic boundary," J. Reine Angew. Math.,
724 (2017), 145-201.
-
[35] E. Bryden, and M. Khuri, "The area-angular momentum-charge inequality
for black holes with positive cosmological constant," Class. Quantum Grav., 34 (2017), 125017.
-
[36] M. Khuri, G. Weinstein, and S. Yamada, "Proof of the Riemannian Penrose
inequality with charge for multiple black holes," J. Differential Geom., 106 (2017), 451-498.
-
[37] M. Khuri, and N. Xie, "Inequalities between size,
mass, angular momentum, and charge for axisymmetric bodies and the formation of trapped surfaces,"
Ann. Henri Poincare, 18 (2017), no. 8, 2815-2830.
-
[38] A. Alaee, M. Khuri, and H. Kunduri, "Mass-angular momentum inequality for
black ring spacetimes," Phys. Rev. Lett., 119 (2017), 071101.
-
[39] M. Khuri, and E. Woolgar, "Nonexistence of extremal de Sitter black rings,"
Class. Quantum Grav., 34 (2017), 22LT01.
-
[40] Y.-S. Cha, and M. Khuri, "Transformations of asymptotically AdS hyperbolic initial data
and associated geometric inequalities," Gen. Relativity Gravitation, 50 (2018), no. 1, 50:3, 48 pages.
-
[41] M. Khuri, and E. Woolgar, "Nonexistence of degenerate horizons in static vacua
and black hole uniqueness," Phys. Lett. B, 777 (2018), 235-239.
-
[42] Q. Han, and M. Khuri, "The conformal flow of metrics and the
general Penrose inequality," Adv. Math. Phys., Vol. 2018, Art. ID 7390148.
-
[43] M. Khuri, G. Weinstein, and S. Yamada, "Asymptotically locally Euclidean/Kaluza-Klein stationary vacuum
black holes in 5 dimensions," PTEP. Prog. Theor. Exp. Phys., 2018, no. 5, 053E01, 13pp.
-
[44] J. Jaracz, and M. Khuri, "Bekenstein bounds, Penrose inequalities, and
black hole formation," Phys. Rev. D, 97 (2018), 124026.
-
[45] M. Khuri, G. Weinstein, and S. Yamada, "Stationary vacuum black holes in 5 dimensions,"
Comm. Partial Differential Equations, 43 (2018), no. 8, 1205-1241.
-
[46] A. Alaee, M. Khuri, and H. Kunduri,
"Bounding horizon area by angular momentum, charge, and cosmological constant in 5-dimensional minimal supergravity,"
Ann. Henri Poincare, 20 (2019), no. 2, 481-525.
-
[47] M. Khuri, E. Woolgar, and W. Wylie, "New restrictions on the topology
of extreme black holes," Lett. Math. Phys., 109 (2019), no. 3, 661-673.
-
[48] E. Bryden, M. Khuri, and B. Sokolowsky, "The positive mass theorem
with angular momentum and charge for manifolds with boundary," J. Math. Phys., 60 (2019), no. 5, 052501, 10 pp.
-
[49] M. Khuri, Y. Matsumoto, G. Weinstein, and S. Yamada,
"Plumbing constructions
and the domain of outer communication for 5-dimensional stationary black holes," Trans. Amer. Math. Soc.,
372 (2019), no. 5, 3237-3256.
-
[50] Q. Han, and M. Khuri, "The conformal flow of metrics and the general Penrose inequality,"
Tsinghua lectures in mathematics, 227-242, Adv. Lect. Math. (ALM), 45, Int. Press, Somerville, MA, 2019.
-
[51] A. Alaee, M. Khuri, and H. Kunduri,
"Existence and uniqueness of near-horizon geometries for 5-dimensional
black holes," J. Geom. Phys., 144 (2019), 370-387.
-
[52] M. Khuri, B. Sokolowsky, and G. Weinstein,
"A Penrose-type inequality with angular momentum and charge for
axisymmetric initial data," Gen. Relativity Gravitation, 51 (2019), no. 9, 51:118, 23 pages.
-
[53] A. Alaee, M. Khuri, and S.-T. Yau,
"Geometric inequalities for quasi-local masses," Comm. Math. Phys.,
378 (2020), no. 1, 467-505.
-
[54] M. Khuri, G. Weinstein, and S. Yamada,
"5-dimensional space-periodic solutions of the static vacuum
Einstein equations," J. High Energy Phys. (2020), no. 12, Art. 2.
-
[55] E. Bryden, M. Khuri, and C. Sormani,
"Stability of the spacetime positive mass theorem in spherical
symmetry," J. Geom. Anal., 31 (2021), no. 4, 4191-4239.
-
[56] G. Galloway, M. Khuri, and E. Woolgar,
"A Bakry-Emery almost splitting result
with applications to the topology of black holes," Comm. Math. Phys., 384 (2021), no. 3, 2067-2101.
-
[57] M. Khuri, G. Weinstein, and S. Yamada,
"Balancing static vacuum black holes with signed masses
in 4 and 5 dimensions," Phys. Rev. D, 104 (2021), no. 4, 044063.
-
[58] A. Alaee, M. Khuri, and H. Kunduri,
"Cosmic cloaking of rich extra dimensions,"
Internat. J. Modern Phys. D, 30 (2021), no. 14, 2142022. [A slightly modified version of this article received - Honorable
Mention - in the Gravity Research Foundation 2021 Awards for Essays on
Gravitation.]
-
[59] H. Bray, D. Kazaras, M. Khuri, and D. Stern,
"Harmonic functions and the mass of 3-dimensional
asymptotically flat Riemannian manifolds," J. Geom. Anal., 32 (2022), no. 6, Art. 184.
-
[60] G. Galloway, M. Khuri, and E. Woolgar,
"The topology of general cosmological models," Class. Quantum Grav., 39 (2022),
195004 (14pp).
-
[61] S. Hirsch, D. Kazaras, and M. Khuri,
"Spacetime harmonic functions and the mass of 3-dimensional
asymptotically flat initial data for the Einstein equations," J. Differential Geom., 122 (2022), no. 2, 223-258.
-
[62] A. Alaee, P.-K. Hung, and M. Khuri,
"The positive energy theorem for asymptotically hyperboloidal initial data sets with toroidal infinity
and related rigidity results," Comm. Math. Phys., 396 (2022), no. 2, 451–480.
-
[63] A. Alaee, M. Khuri, and H. Kunduri,
"Existence and uniqueness of stationary solutions in
5-dimensional minimal supergravity," Math. Res. Lett., 29 (2022), no. 5, 1279-1346.
-
[64] H. Bray, S. Hirsch, D. Kazaras, M. Khuri, and Y. Zhang,
"Spacetime harmonic functions and applications to mass,"
Perspectives in Scalar Curvature, Vol. 2, World Sci. Publ. (2023), Ed. M. Gromov and H. Lawson, 593-639.
-
[65] M. Khuri, and J. Kopinski,
"Asymptotically hyperbolic Einstein constraint equations with
apparent horizon boundary and the Penrose inequality for perturbations of Schwarzschild-AdS," Class. Quantum Grav.,
40 (2023), 045007 (25pp).
-
[66] V. Kakkat, M. Khuri, J. Rainone, and G. Weinstein,
"The geometry and topology of stationary multi-axisymmetric vacuum black holes in higher
dimensions," Pacific J. Math., 322 (2023), No. 1, 59-97.
-
[67] M. Khuri, and J. Rainone,
"Black lenses in Kaluza-Klein matter," Phys. Rev. Lett., 131 (2023), 041402.
[A Quanta Magazine article based on the results of this paper may be found here.]
-
[68] S. Hirsch, D. Kazaras, M. Khuri, and Y. Zhang,
"Spectral torical band inequalities and generalizations of
the Schoen-Yau black hole existence theorem," Int. Math. Res. Not. IMRN (2024), no. 4, 3139-3175.
[A Quanta Magazine article based on the results of this paper may be found here.]
-
[69] A. Alaee, M. Khuri, and S.-T. Yau,
"A quasi-local mass,"
Comm. Math. Phys., 405 (2024), no. 5, Paper No. 111, 24 pp.
-
[70] M. Khuri, M. Reiris, G. Weinstein, and S. Yamada,
"Gravitational solitons and complete Ricci flat Riemannian manifolds
of infinite topological type," Pure Appl. Math. Q., 20 (2024), no. 4, 1895-1921.
-
[71] D. Kazaras, M. Khuri, and D. Lee,
"Stability of the positive mass theorem under Ricci curvature
lower bounds," Math. Res. Lett., 31 (2024), no. 3, 747-794.
-
[72] S. Hirsch, D. Kazaras, M. Khuri, and Y. Zhang,
"Rigid comparison geometry for Riemannian bands and open incomplete manifolds," Math. Ann., 391 (2025), no. 2, 2587–2652.
-
[73] A. Alaee, P.-K. Hung, and M. Khuri,
"Boundary behavior of compact manifolds with scalar curvature lower bounds and static quasi-local mass of tori," Proc. Amer. Math. Soc., 153 (2025), no. 5, 2153–2167.
-
[74] M. Khuri, and H. Kunduri,
"The spacetime Penrose inequality for cohomogeneity one initial data,"
Adv. Theor. Math. Phys., to appear, 24 pages.
-
[75] Q. Han, M. Khuri, G. Weinstein, and J. Xiong,
"Asymptotic analysis of harmonic maps with prescribed singularities,"
preprint, 49 pages, 2024.
-
[76] Q. Han, M. Khuri, G. Weinstein, and J. Xiong,
"The mass-angular momentum inequality for multiple black holes,"
preprint, 64 pages, 2025.
-
[77] M. Khuri, and J. Wang,
"Positive mass theorems for asymptotically flat and asymptotically locally flat manifolds," preprint, 37 pages, 2025.