Lightly beat the egg, and pour it into the mixture.
Add flour and salt. Work the dough until it is homogeneous.
Keep refrigerated overnight.
For the lime cream (the day before)
Hydrate the gelatin.If you are using gelatin sheets: place 1 gelatin sheet in a bowl of cold water.If using powdered gelatin: mix 2 g. of gelatin with 10 g of cold water.Set aside.
In a mixing bowl, combine lime juice and zest, egg and sugar.
Cook in a water bath until 75°C.
Remove from heat, add gelatin (either the well-drained sheet or the powder/water mixture) and stir until gelatin is completely dissolved.
Let cool to 50°C, add the butter in pieces and mix to emulsify.
Pour into a bowl and cover with cling film.
Reserve in the refrigerator until the next day..
For the almond cream
Whip the butter with the powdered sugar, almond powder, egg, rum and lemon zest.
Set aside.
For the pineapple and coriander brunoise
Cut the pineapple into small cubes.
Chop the coriander.
Mix the pineapple, coriander, lime juice and zest. Add sugar to taste (when the pineapple is ripe it is usually not necessary)
Set aside
For the assembly
Roll out the dough and shape the 6 circles. Prick the dough with a fork and refrigerate for at least 1 hour.
Preheat your oven to 180°C (350°F).
Bake the pie shells for 15 minutes.
Take them out of the oven, and spread the almond cream between the tarts.
Bake again for 10 minutes.
Let the tarts cool. Add the lime cream.
You can keep the tarts in the refrigerator. Take them out 15 to 20 minutes before serving and place the pineapple brunoise on top.