Point-particle solution and the asymptotic flatness in 2+1D Hořava gravity
| Autor: | Byron Droguett, Jorge Bellorín |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Physical Review D. 100 |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.100.064021 |
| Popis: | We show that the solution corresponding to the gravitational field of a point particle at rest in 2+1 nonprojectable Horava is exactly the same as its analogous in 2+1 General Relativity. This solution is well known, it is a flat cone whose deficit angle is proportional to the mass of the particle. To establish the system we couple the Horava theory to a point particle with relativistic action. As a consequence of this result, we define the condition of asymptotic flatness exactly in the same way of 2+1 General Relativity. A remarkable feature of this condition is that the dominant mode is not fixed, but affected by the mass of the configuration. Anoter important coincidence with 2+1 General Relativity under asymptotic flatness is that the energy is the same (except for some coupling constants involved), the z = 1 term with the derivative of the lapse function does not contribute. |
| Databáze: | OpenAIRE |
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