We show that the solution published in the paper by Senovilla [Phys. Rev. Lett. 64, 2219 (1990)] is geodesically complete and singularity-free. We also prove that the solution satisfies the stronger energy and causality conditions, such as global hyperbolicity, the strong energy condition, causal symmetry, and causal stability. A detailed discussion about which assumptions in the singularity theorems are not satisfied is performed, and we show explicitly that the solution is in accordance with those theorems. A brief discussion of the results is given
The most detailed existing proposal for the structure of spacetime singularities originates in the w...
If a space-time is timelike or null geodesically incomplete but cannot be embedded in a larger space...
One way to understand more about spacetime singularities is to construct solutions of the Einstein e...
We show that the solution published in the paper by Senovilla [Phys. Rev. Lett. 64, 2219 (1990)] is ...
We show that the solution published in the paper by Senovilla [Phys. Rev. Lett. 64, 2219 (1990)] is ...
The paper establishes the result that solutions of the type described in the title of the article ar...
Inspired by Raychaudhuri's work, and using the equation named after him as a basic ingredient, I pro...
The paper establishes the result that solutions of the type described in the title of the article ar...
We review recent work on the existence and nature of cosmological singularities that can be formed d...
It is shown that if the timelike eigenvector of the Ricci tensor is hypersurface orthogonal so that ...
Sufficient conditions for the well-posedness of the initial value problem for the scalar wave equati...
Hawking's singularity theorem concerns matter obeying the strong energy condition (SEC), which means...
New integral conditions are proposed that are sufficient for the existence of conjugate pointpairs a...
There are two disjointed problems in cosmology within General Relativity (GR), which can be addresse...
It is shown that the space-time with a conical singularity, which describes a thin cosmic string, is...
The most detailed existing proposal for the structure of spacetime singularities originates in the w...
If a space-time is timelike or null geodesically incomplete but cannot be embedded in a larger space...
One way to understand more about spacetime singularities is to construct solutions of the Einstein e...
We show that the solution published in the paper by Senovilla [Phys. Rev. Lett. 64, 2219 (1990)] is ...
We show that the solution published in the paper by Senovilla [Phys. Rev. Lett. 64, 2219 (1990)] is ...
The paper establishes the result that solutions of the type described in the title of the article ar...
Inspired by Raychaudhuri's work, and using the equation named after him as a basic ingredient, I pro...
The paper establishes the result that solutions of the type described in the title of the article ar...
We review recent work on the existence and nature of cosmological singularities that can be formed d...
It is shown that if the timelike eigenvector of the Ricci tensor is hypersurface orthogonal so that ...
Sufficient conditions for the well-posedness of the initial value problem for the scalar wave equati...
Hawking's singularity theorem concerns matter obeying the strong energy condition (SEC), which means...
New integral conditions are proposed that are sufficient for the existence of conjugate pointpairs a...
There are two disjointed problems in cosmology within General Relativity (GR), which can be addresse...
It is shown that the space-time with a conical singularity, which describes a thin cosmic string, is...
The most detailed existing proposal for the structure of spacetime singularities originates in the w...
If a space-time is timelike or null geodesically incomplete but cannot be embedded in a larger space...
One way to understand more about spacetime singularities is to construct solutions of the Einstein e...