THE INITIAL-BOUNDARY VALUE PROBLEM IN GENERAL RELATIVITY

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The initial value problem in numerical relativity

The conformal method for constructing initial data for Einstein’s equations is presented in both the Hamiltonian and Lagrangian picture (extrinsic curvature decomposition and conformal thin sandwich formalism, respectively), and advantages due to the recent introduction of a weight-function in the extrinsic curvature decomposition are discussed. I then describe recent progress in numerical tech...

متن کامل

The Initial Value Formulation of General Relativity

The (Cauchy) initial value formulation of General Relativity is developed, and the maximal vacuum Cauchy development theorem is reviewed. There is a short discussion of the evolution equations and associated guage choices, and global results are mentioned briefly in the conclusion.

متن کامل

Well-Posed Initial-Boundary Evolution in General Relativity

The waveform emitted in the inspiral and merger of a relativistic binary is theoretical input crucial to the success of the fledgling gravitational wave observatories. A computational approach is necessary to treat the highly nonlinear regime of a black hole or neutron star collision. Developing this computational ability has been the objective of the Binary Black Hole (BBH) Grand Challenge [1]...

متن کامل

New Data for the Initial-value Problem of General Relativity * Typeset Using Revt E X

The initial-value problem is posed by giving a conformal three-metric on each of two nearby spacelike hypersurfaces, their proper-time separation up to a multiplier to be determined, and the mean (extrinsic) curvature of one slice. The resulting equations have the same elliptic form as does the one-hypersurface formulation. The metrical roots of this form are revealed by a conformal " thin sand...

متن کامل

Conformal “ thin sandwich ” data for the initial - value problem of general relativity ∗

The initial-value problem is posed by giving a conformal three-metric on each of two nearby spacelike hypersurfaces, their proper-time separation up to a multiplier to be determined, and the mean (extrinsic) curvature of one slice. The resulting equations have the same elliptic form as does the one-hypersurface formulation. The metrical roots of this form are revealed by a conformal " thin sand...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International Journal of Modern Physics D

سال: 2011

ISSN: 0218-2718,1793-6594

DOI: 10.1142/s0218271811019116