C'est effectivement une mauvaise analogie. Il existe effectivement des solutions aux équations de la RG donnant un espace-temps courbe (ex: tenseur de Reimann non nul) mais localement sans matière/énergie (Tuv=0).

In general relativity there is this rubbish sheet analogy that spacetime is like a fabric, and it is rubbish

1/3 Le problème est que l'oeil fonctionne en vision "mésopique" (~1cd/m2) dans nos véhicules après le coucher du Soleil, sollicitant les cônes (photopique) ET les bâtonnets (scotopique). Or la différence de sensation lumineuse entre les deux est d'un facteur 2,5 environ, et ...

100 years ago today, Chuck Berry was born. Guitarist and songwriter who shaped rock and roll out of country, blues and R&B. Story songs, a double-stop guitar style, and a body of work that became the template.

BREAKING: Russia and the US are discussing building US data centers running on Russian nuclear power, per Putin's economic envoy Dmitriev. "We are discussing joint projects in the field of Russia-USA data centers, including with the use of our nuclear power plants," Dmitriev says. He says Putin and Trump are discussing a wide range of projects. "I think we will be announcing some important initiatives in the near future." "We have previously said that there is a very large synergistic effect between Russia and the United States in the Arctic, in the LNG sector, and in other energy projects," Dmitriev adds.