David Brown

Introduction to Scientific Computation

Brown, J. D. (2025, May 19). WORLD SCIENTIFIC EBooks.

Extended body dynamics in general relativity: Hyperelastic models

Jadoo, N., Brown, J. D., & Evans, C. R. (2023, October 10). Physical Review. D/Physical Review. D., Vol. 108, p. 084020.

Singular Lagrangians and the Dirac–Bergmann algorithm in classical mechanics

Brown, J. D. (2023, February 17). American Journal of Physics, Vol. 91, pp. 214–224.

Generalized geodesic deviation in de Sitter spacetime

Waldstein, I. R., & Brown, J. D. (2022, April 26). Classical and Quantum Gravity, Vol. 39, p. 115006.

Singular Lagrangians, Constrained Hamiltonian Systems and Gauge Invariance: An Example of the Dirac–Bergmann Algorithm

Brown, J. D. (2022, March 9). Universe, Vol. 8, p. 171.

Elasticity theory in general relativity

Classical and Quantum Gravity, 38(8), 085017.

Continuous body dynamics and the Mathisson-Papapetrou-Dixon equations

Loomis, S. P., & Brown, J. D. (2017, February 17). Physical Review. D/Physical Review. D., Vol. 95, p. 044025.

Numerical simulations with a first-order BSSN formulation of Einstein’s field equations

Brown, J. D., Diener, P., Field, S. E., Hesthaven, J. S., Herrmann, F., Mroué, A. H., … Wagman, M. (2012, April 2). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 85, p. 084004.

Action principle for the generalized harmonic formulation of general relativity

Brown, J. D. (2011, October 6). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 84, p. 084014.

Generalized harmonic equations in3+1form

Brown, J. D. (2011, December 2). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 84, p. 124012.

Oppenheimer–Snyder collapse in moving-puncture coordinates

Classical and Quantum Gravity, 29(1), 015003.

Trumpet slices of the Schwarzschild-Tangherlini spacetime

Dennison, K. A., Wendell, J. P., Baumgarte, T. W., & Brown, J. D. (2010, December 27). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 82, p. 124057.

Covariant formulations of Baumgarte, Shapiro, Shibata, and Nakamura and the standard gauge

Brown, J. D. (2009, May 27). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 79, p. 104029.

Probing the puncture for black hole simulations

Brown, J. D. (2009, October 29). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 80, p. 084042.

Strongly Hyperbolic Extensions of the ADM Hamiltonian

Brown, J. D. (2009, January 1). Workshop on Quantum Mechanics of Fundamental Systems: the Quest for Beauty and Simplicity: Dedicated to Claudio Bunster on the Occasion of His 60th Birthday, pp. 71–90.

Turduckening black holes: An analytical and computational study

Brown, D., Diener, P., Sarbach, O., Schnetter, E., & Tiglio, M. (2009, February 20). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 79, p. 044023.

BSSN in spherical symmetry

Brown, J. D. (2008, September 25). Classical and Quantum Gravity, Vol. 25, p. 205004.

Puncture evolution of Schwarzschild black holes

Brown, J. D. (2008, February 12). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 77, p. 044018.

Excision without excision

Brown, D., Sarbach, O., Schnetter, E., Tiglio, M., Diener, P., Hawke, I., & Pollney, D. (2007, October 29). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 76, p. 081503.

Midpoint rule as a variational-symplectic integrator: Hamiltonian systems

Brown, J. D. (2006, January 4). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 73, p. 024001.

Modifying the Einstein equations off the constraint hypersurface

Brown, J. D., & Lowe, L. L. (2006, November 20). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 74, p. 104023.

Conformal invariance and the conformal-traceless decomposition of the gravitational field

Brown, J. D. (2005, May 10). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 71, p. 104011.

Multigrid elliptic equation solver with adaptive mesh refinement

Brown, J. D., & Lowe, L. L. (2005, May 27). Journal of Computational Physics, Vol. 209, pp. 582–598.

Distorted black hole initial data using the puncture method

Brown, J. D., & Lowe, L. L. (2004, December 10). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 70, p. 124014.

Evolving a puncture black hole with fixed mesh refinement

Imbiriba, B., Baker, J., Choi, D. I., Centrella, J., Fiske, D. R., Brown, J. D., … Olson, K. (2004, December 20). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Vol. 70, p. 124025.

Interface conditions for wave propagation through mesh refinement boundaries

Choi, D. I., Brown, J. D., Imbiriba, B., Centrella, J., & MacNeice, P. (2003, December 5). Journal of Computational Physics, Vol. 193, pp. 398–425.

Action and Energy of the Gravitational Field

Brown, J. D., Lau, S. R., & York, J. W. (2002, May 1). Annals of Physics, Vol. 297, pp. 175–218.

Dynamical Rotational Instability at Low [ITAL]T[/ITAL]/[ITAL]W[/ITAL]

Centrella, J. M., New, K. C. B., Lowe, L. L., & Brown, J. D. (2001, April 1). The Astrophysical Journal, Vol. 550, pp. L193–196.

Rotational instabilities in post–collapse stellar cores

Brown, J. D. (2001, January 1). (J. M. Centrella, Ed.). AIP Conference Proceedings, Vol. 575, pp. 234–245.

Action and energy of the gravitational field

10. http://inspirehep.net/record/534655

Gravitational waves from the dynamical bar instability in a rapidly rotating star

Brown, J. D. (2000, September 25). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 6208, p. 4024.

Canonical quasilocal energy and small spheres

Brown, J. D., Lau, S. R., & York, J. W. (1999, February 18). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 5906, p. 4028.

Boundary states and black hole entropy

Brown, J. D. (1998, February 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 57, pp. 2624–2627.

Commentary on Lanczos's 'Remark on the de Sitter universe'

Cornelius Lanczos collected published papers with commentaries, 2–41. Raleigh: College of Physical and Mathematical Sciences, North Carolina State University.

Commentary on Lanczos's 'Surface distribution of matter in Einstein's theory of gravitation'

Cornelius Lanczos collected published papers with commentaries, 2/264–2265. Raleigh: College of Physical and Mathematical Sciences, North Carolina State University.

The Path Integral Formulation of Gravitational Thermodynamics

Brown, J. D., & York, J. W. (1998, June 1). WORLD SCIENTIFIC EBooks, pp. 1–24.

Black Holes with Short Hair

Brown, J. D., & Husain, V. (1997, October 1). International Journal of Modern Physics D, Vol. 6, pp. 563–573.

Duality invariance of black hole creation rates

Brown, J. D. (1997, July 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 56, pp. 1001–1004.

Energy of isolated systems at retarded times as the null limit of quasilocal energy

Brown, J. D., Lau, S. R., & York, J. W. (1997, February 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 55, pp. 1977–1984.

On Variational Principles for Gravitating Perfect Fluids

Brown, D. J. (1996, May 1). Annals of Physics, Vol. 248, pp. 1–33.

Relativistic material reference systems

Brown, J. D., & Marolf, D. (1996, February 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 53, pp. 1835–1844.

Black hole entropy and the Hamiltonian formulation of diffeomorphism invariant theories

Brown, J. D. (1995, December 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 52, pp. 7011–7026.

Black hole pair creation and the entropy factor

Brown, J. D. (1995, May 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 51, pp. 5725–5731.

Dust as a standard of space and time in canonical quantum gravity

Brown, J. D., & Kuchař, K. V. (1995, May 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 51, pp. 5600–5629.

Proceedings of the Cornelius Lanczos International Centenary Conference, J.D. Brown, M.T. Chu, D.C. Ellison and R.J. Plemmons, Eds., SIAM, Philadelphia, PA, 1994, lxv + 644 pp

(1995, September 1). Journal of Approximation Theory.

Black hole thermodynamics in a box

In M. T. C. J. D. Brown, D. C. Ellison, & R. J. Plemmons (Eds.), Proceedings of the Cornelius Lanczos International Centenary Conference (pp. 548–550). Philadelphia: SIAM.

Black hole thermodynamics in a box

4. http://inspirehep.net/record/372580

Microcanonical Action and the Entropy of a Rotating Black Hole

Brown, J. D., & York, J. W. (1994, January 1). (M. Flato, R. Kerner, & A. Lichnerowicz, Eds.). Physics on Manifolds: Proceedings of the International Colloquium in Honour of Yvonne Choquet-Bruhat, Paris, June 3-5, 1992, Vol. 15, pp. 23–34.

On variational principles for gravitating perfect fluids

7. http://inspirehep.net/record/374738

Reference fluids as standards of space and time

In M. T. C. J. D. Brown, D. C. Ellison, & R. J. Plemmons (Eds.), Proceedings of the Cornelius Lanczos International Centenary Conference (pp. 563–565). Philadelphia: SIAM.

Reference fluids as standards of space and time

4. http://inspirehep.net/record/372581

Temperature and time in the geometry of rotating black holes

In J. P.-M. J. J. Halliwell & W. Zurek (Eds.), Physical origins of time asymmetry (pp. 465–474). Cambridge: Cambridge University Press.

Temperature, energy, and heat capacity of asymptotically anti–de Sitter black holes

Brown, J. D., Creighton, J., & Mann, R. B. (1994, November 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 50, pp. 6394–6403.

The Path integral formulation of gravitational thermodynamics

The Black Hole 25 Years After, 1–24. http://inspirehep.net/record/373302

Action functionals for relativistic perfect fluids

Brown, J. D. (1993, August 1). Classical and Quantum Gravity, Vol. 10, pp. 1579–1606.

Jacobi's action and the density of states

2. http://inspirehep.net/record/34159

Microcanonical functional integral for the gravitational field

Brown, J. D., & York, J. W. (1993, February 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 47, pp. 1420–1431.

Quasilocal energy and conserved charges derived from the gravitational action

Brown, J. D., & York, J. W. (1993, February 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 47, pp. 1407–1419.

Quasilocal energy in general relativity

Brown, J. D., & York, J. W. (1992, January 1). Contemporary Mathematics - American Mathematical Society, pp. 129–142.

Temperature and time in the geometry of rotating black holes

NATO Workshop on the Physical Origin of Time Asymmetry. http://inspirehep.net/record/332517

Complex Kerr-Newman geometry and black-hole thermodynamics

Brown, J. D., Martinez, E. A., & York, J. W. (1991, May 6). Physical Review Letters, Vol. 66, pp. 2281–2284.

Quasilocal energy in general relativity

Joint Summer Reasearch Conference on Mathematical Aspects of Classical Field Theory. http://inspirehep.net/record/322580

Rotating Black Holes, Complex Geometry, and Thermodynamics^a, ^b

BROWN, J. D. A. V. I. D., MARTINEZ, E. R. I. K. A., & YORK, J. A. M. E. S. W. (1991, August 1). Annals of the New York Academy of Sciences, Vol. 631, pp. 225–234.

Charged black hole in a grand canonical ensemble

Braden, H. W., Brown, J. D., Whiting, B. F., & York, J. W. (1990, November 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 42, pp. 3376–3385.

Lorentzian path integral for minisuperspace cosmology

Brown, J. D., & Martinez, E. A. (1990, September 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 42, pp. 1931–1943.

Thermodynamic ensembles and gravitation

Brown, J. D., Comer, G. L., Martinez, E. A., Melmed, J., Whiting, B. F., & York, J. W. (1990, August 1). Classical and Quantum Gravity, Vol. 7, pp. 1433–1444.

Tunneling in perfect-fluid (minisuperspace) quantum cosmology

Brown, J. D. (1990, February 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 41, pp. 1125–1141.

Jacobi's action and the recovery of time in general relativity

Brown, J. D., & York, J. W. (1989, November 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields.

Scalar field wormholes

Brown, J. D., Burgess, C. P., Kshirsagar, A., Whiting, B. F., & York, J. W. (1989, December 1). Nuclear Physics B, Vol. 328, pp. 213–222.

LOWER DIMENSIONAL GRAVITY

http://inspirehep.net/record/269097

Lower Dimensional Gravity

Brown, J. D. (1988, June 1). WORLD SCIENTIFIC EBooks.

Neutralization of the cosmological constant by membrane creation

Brown, J. D., & Teitelboim, C. (1988, February 1). Nuclear Physics B, Vol. 297, pp. 787–836.

Dynamical neutralization of the cosmological constant

Brown, J. D., & Teitelboim, C. (1987, September 1). Physics Letters B, Vol. 195, pp. 177–182.

Black holes in two spacetime dimensions

Brown, J. D., Henneaux, M., & Teitelboim, C. (1986, January 15). Physical Review. D. Particles, Fields, Gravitation, and Cosmology/Physical Review. D. Particles and Fields, Vol. 33, pp. 319–323.

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity

Brown, J. D., & Henneaux, M. (1986, June 1). Communications in Mathematical Physics, Vol. 104, pp. 207–226.

On the Poisson brackets of differentiable generators in classical field theory

Brown, J. D., & Henneaux, M. (1986, February 1). Journal of Mathematical Physics, Vol. 27, pp. 489–491.

Lowest order g — 2 of W± Bosons

Mikaelian, K. O., Samuel, M. A., & Beown, D. (1980, February 1). Lettere Al Nuovo Cimento Della Societa Italiana Di Fisica/Lettere Al Nuovo Cimento, Vol. 27, pp. 211–214.

The effect of radiation on the OH− infrared absorption of quartz crystals

Sibley, W. A., Martin, J. J., Wintersgill, M. C., & Brown, J. D. (1979, August 1). Journal of Applied Physics, Vol. 50, pp. 5449–5452.

Jacobi's Action and the Density of States

Brown, J. D., & York, J. W. (1956, November 16). Cambridge University Press EBooks, pp. 28–37.