Mathematical Physics in General Relativity Theory
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Hilbert’s Sixth Problem".
Deadline for manuscript submissions: 28 April 2025 | Viewed by 24
Special Issue Editor
2. ICRA-International Center for Relativistic Astrophysics C/O Physics Department, Sapienza University of Rome, Piazzale Aldo Moro, 5-00185 Rome, Italy
3. ICRANet- International Center for Relativistic Astrophysics Network, Piazza della Repubblica, 65122 Pescara, Italy
Interests: physics; mathematics
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
This Special Issue mainly focuses on the complex relations between mathematical principles and general relativity (GR) in mathematical physics.
- The following aspects are included:
- The initial conditions of the Einstein field equations are studied;
- The initial conditions of the components of the metric tensor are analyzed;
- Special interest in the study of Cauchy surfaces;
- The hyperbolic character of the field equations is outlined;
- Quantum-gravitational theories are also considered: for example,
- quantum aspects of the cosmological singularity are reared to concerning what aspects of the theorems of quantum gravity allow for a proper definition of the Cauchy surfaces.
By studying the above themes, we would like to develop further discussion on the mathematical foundation of general relativity and its initial value problem and a deeper understanding of the implications of quantum gravity in defining the structure of space–time.
Dr. Orchidea Maria Lecian
Guest Editor
Manuscript Submission Information
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Keywords
- general relativity
- mathematical physics
- differential geometry
- curvature and topology
- cosmological models
- quantum gravity
- numerical relativity
- einstein's equations
- spacetime manifolds
- metric tensor
- initial conditions
- cauchy surfaces
- hyperbolic equations
- quantum gravity
- cosmological singularities
- well posedness
- spacetime dynamics
- mathematical foundations
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