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Domain walls without cosmological constant in higher order gravity
1Institute of Theoretical Physics, Warsaw University, Hoza 69, 00-681 Warsaw, Poland.
Physical Review Letters
|May 1, 2001
Summary
We introduce higher-order gravity corrections using Euler densities. These corrections enable domain-wall solutions without cosmological constants, simplifying models like the Randall-Sundrum scenario.
Area of Science:
- Theoretical Physics
- Gravitational Theory
- High-Energy Physics
Background:
- Standard gravity action in D dimensions.
- Higher-order corrections are crucial for a complete gravitational theory.
Purpose of the Study:
- Investigate higher-order corrections to the standard gravity action.
- Explore the implications of Euler densities for gravitational solutions.
- Analyze the conditions for domain-wall solutions in modified gravity.
Main Methods:
- Considered Euler densities of arbitrary rank n.
- Derived a generating functional for the theory.
- Obtained explicit forms of conserved energy-momentum tensors.
Main Results:
- Introduced higher-order corrections to the gravity action.
- Demonstrated the existence of domain-wall solutions.
- Showed that solutions are independent of cosmological constants.
- Realized Randall-Sundrum-type scenarios without bulk/brane cosmological constants.
Conclusions:
- Higher-order Euler density corrections offer a new framework for gravitational models.
- The independence from cosmological constants simplifies the construction of domain-wall solutions.
- This approach provides a more flexible way to realize scenarios like Randall-Sundrum.