We show that any solution of the 4D Einstein equations of general relativity in vacuum with a cosmological constant may be embedded in a solution of the 5D Ricci-flat equations with an effective 4D cosmological “constant” Λ that is a specific function of the extra coordinate. For unified theories of the forces in higher dimensions, this has major physical implications.
General Relativity and Gravitation
- Pub Date:
- September 2007
- Cosmological constant;
- Weak Equivalence Principle;
- Higher dimensions;
- General Relativity and Quantum Cosmology