Gravitational Stability and Screening Effect from D Extra Timelike Dimensions
Satoshi Matsuda, Shigenori Seki (Kyoto Univ.)
TL;DR
This paper investigates the effects of extra timelike dimensions on gravitational stability and screening, revealing tachyonic modes and deriving relationships between higher-dimensional and 4D Newton constants.
Contribution
It introduces a detailed analysis of gravitational effects in (3+1)+D spacetime with timelike extra dimensions, including stability, screening, and Newton constant relations.
Findings
Tachyonic Kaluza-Klein gravitons cause instabilities.
Gravitational force is screened in certain extra timelike dimensions.
Derived exact relation between higher-dimensional and 4D Newton constants.
Abstract
We study (3+1)+D dimensional spacetime, where D extra dimensions are timelike. Compactification of the D timelike dimensions leads to tachyonic Kaluza-Klein gravitons. We calculate the gravitational self-energies of massive spherical bodies due to the tachyonic exchange, discuss their stability, and find that the gravitational force is screened in a certain number of the extra dimensions. We also derive the exact relationship between the Newton constants in the full 4+D dimensional spacetime with the D extra times and the ordinary Newton constant of our 4 dimensional world.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.