| Autor: |
Roshan, Mahmood, Shojai, Fatimah |
| Rok vydání: |
2016 |
| Předmět: |
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| Zdroj: |
Physical Review D 94, 044002 (2016) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevD.94.044002 |
| Popis: |
A new covariant generalization of Einstein's general relativity is developed which allows the existence of a term proportional to $T_{\alpha\beta}T^{\alpha\beta}$ in the action functional of the theory ($T_{\alpha\beta}$ is the energy-momentum tensor). Consequently the relevant field equations are different from general relativity only in the presence of matter sources. In the case of a charged black hole, we find exact solutions for the field equations. Applying this theory to a homogeneous and isotropic space-time, we find that there is a maximum energy density $\rho_{\text{max}}$, and correspondingly a minimum length $a_{\text{min}}$, at early universe. This means that there is a bounce at early times and this theory avoids the existence of an early time singularity. Moreover we show that this theory possesses a true sequence of cosmological eras. Also, we argue that although in the context of the standard cosmological model the cosmological constant $\Lambda$ does not play any important role in the early times and becomes important only after the matter dominated era, in this theory the "repulsive" nature of the cosmological constant plays a crucial role at early times for resolving the singularity. |
| Databáze: |
arXiv |
| Externí odkaz: |
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