18 citations · 47 across the 7 of their papers we have counts for
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An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data
Yvonne Choquet-Bruhat, Piotr T. Chruściel, José M. Martín-García
We prove that analytic initial data on a light cone arising from a metric satisfying a "near-roundness" condition near the vertex lead to a solution of the vacuum Einstein equation…
Energy estimate for initial data on a characteristic cone
Yvonne Choquet-Bruhat, José M. Martín-García
The Einstein equations in wave map gauge are a geometric second order system for a Lorentzian metric. To study existence of solutions of this hyperbolic quasi diagonal system with…
Existence of naked singularities in Brans-Dicke theory of gravitation. An analytical and numerical study
Nabil Bedjaoui, Philippe G. LeFloch, José M. Martín-García +1
Within the framework of the scalar-tensor models of gravitation and by relying on analytical and numerical techniques, we establish the existence of a class of spherically symmetri…
An existence theorem for the Cauchy problem on a characteristic cone for the Einstein equations
Yvonne Choquet-Bruhat, Piotr T. Chruściel, José M. Martín-García
We prove an existence theorem for the Cauchy problem on a characteristic cone for the vacuum Einstein equations.
Einstein constraints on a characteristic cone
Yvonne Choquet-Bruhat, Piotr T. Chruściel, José M. Martín-García
We analyse the Cauchy problem on a characteristic cone, including its vertex, for the Einstein equations in arbitrary dimensions. We use a wave map gauge, solve the obtained constr…
Spinor calculus on 5-dimensional spacetimes
Alfonso García-Parrado Gómez-Lobo, José M. Martín-García
Penrose's spinor calculus of 4-dimensional Lorentzian geometry is extended to the case of 5-dimensional Lorentzian geometry. Such fruitful ideas in Penrose's spinor calculus as the…
Petrov D vacuum spaces revisited: Identities and Invariant Classification
S. Brian Edgar, Alfonso García-Parrado Gómez-Lobo, José M. Martín-García
For Petrov D vacuum spaces, two simple identities are rederived and some new identities are obtained, in a manageable form, by a systematic and transparent analysis using the GHP f…