Abstract
We consider “dimensionally reduced” gravitational solutions. We write a domain wall ansatz and solve the Einstein equations for it, first for a perturbative nonrelativistic solution, and then for a nonperturbative relativistic one. We write a cosmic string ansatz and solve Einsein's equations by dimensional reduction to 2+1 dimensions, and alternatively in the weak field limit. We define the cosmological constant and write an ansatz for a 2+1 dimensional black hole in a space with cosmological constant, obtaining the BTZ black hole solution. Anti–de Sitter space is defined in general, starting from the BTZ black hole for M = –1.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
